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Finding the Fourth Proportional to 83,102.92, 114,642.14 and 60,406.72

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Solution

The fourth proportional to 83,102.92, 114,642.14 and 60,406.72 is: 83,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.92 : 114,642.14 = 60,406.72 : x
  2. Step 2: Convert to fraction form
    83,102.92/114,642.14 = 60,406.72/x
  3. Step 3: Cross multiply
    83,102.92x = 114,642.14 × 60,406.72
  4. Step 4: Simplify right side
    83,102.92x = 6,925,155,651.18
  5. Step 5: Solve for x
    x = 6,925,155,651.18/83,102.92
  6. Step 6: Final answer
    x = 83,332.28

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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.