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Finding the Fourth Proportional to 100,685.76, 138,894 and 60,380.16

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Solution

The fourth proportional to 100,685.76, 138,894 and 60,380.16 is: 83,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685.76 : 138,894 = 60,380.16 : x
  2. Step 2: Convert to fraction form
    100,685.76/138,894 = 60,380.16/x
  3. Step 3: Cross multiply
    100,685.76x = 138,894 × 60,380.16
  4. Step 4: Simplify right side
    100,685.76x = 8,386,441,943.04
  5. Step 5: Solve for x
    x = 8,386,441,943.04/100,685.76
  6. Step 6: Final answer
    x = 83,293.23

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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.