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Finding the Fourth Proportional to 105,164.40, 157,746.60 and 96,562.80

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Solution

The fourth proportional to 105,164.40, 157,746.60 and 96,562.80 is: 144,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.40 : 157,746.60 = 96,562.80 : x
  2. Step 2: Convert to fraction form
    105,164.40/157,746.60 = 96,562.80/x
  3. Step 3: Cross multiply
    105,164.40x = 157,746.60 × 96,562.80
  4. Step 4: Simplify right side
    105,164.40x = 15,232,453,386.48
  5. Step 5: Solve for x
    x = 15,232,453,386.48/105,164.40
  6. Step 6: Final answer
    x = 144,844.20

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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.