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Finding the Fourth Proportional to 105,215.40, 157,823.10 and 65,893.80

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Solution

The fourth proportional to 105,215.40, 157,823.10 and 65,893.80 is: 98,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.40 : 157,823.10 = 65,893.80 : x
  2. Step 2: Convert to fraction form
    105,215.40/157,823.10 = 65,893.80/x
  3. Step 3: Cross multiply
    105,215.40x = 157,823.10 × 65,893.80
  4. Step 4: Simplify right side
    105,215.40x = 10,399,563,786.78
  5. Step 5: Solve for x
    x = 10,399,563,786.78/105,215.40
  6. Step 6: Final answer
    x = 98,840.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.