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Finding the Fourth Proportional to 242,059.97, 334,019.37 and 140,065.13

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Solution

The fourth proportional to 242,059.97, 334,019.37 and 140,065.13 is: 193,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,059.97 : 334,019.37 = 140,065.13 : x
  2. Step 2: Convert to fraction form
    242,059.97/334,019.37 = 140,065.13/x
  3. Step 3: Cross multiply
    242,059.97x = 334,019.37 × 140,065.13
  4. Step 4: Simplify right side
    242,059.97x = 46,784,466,481.57
  5. Step 5: Solve for x
    x = 46,784,466,481.57/242,059.97
  6. Step 6: Final answer
    x = 193,276.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.