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Finding the Fourth Proportional to 105,103.40, 157,655.10 and 96,501.80

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Solution

The fourth proportional to 105,103.40, 157,655.10 and 96,501.80 is: 144,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.40 : 157,655.10 = 96,501.80 : x
  2. Step 2: Convert to fraction form
    105,103.40/157,655.10 = 96,501.80/x
  3. Step 3: Cross multiply
    105,103.40x = 157,655.10 × 96,501.80
  4. Step 4: Simplify right side
    105,103.40x = 15,214,000,929.18
  5. Step 5: Solve for x
    x = 15,214,000,929.18/105,103.40
  6. Step 6: Final answer
    x = 144,752.70

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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.