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Finding the Fourth Proportional to 138,605.77, 207,931.09 and 54,320.23

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Solution

The fourth proportional to 138,605.77, 207,931.09 and 54,320.23 is: 81,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.77 : 207,931.09 = 54,320.23 : x
  2. Step 2: Convert to fraction form
    138,605.77/207,931.09 = 54,320.23/x
  3. Step 3: Cross multiply
    138,605.77x = 207,931.09 × 54,320.23
  4. Step 4: Simplify right side
    138,605.77x = 11,294,864,632.95
  5. Step 5: Solve for x
    x = 11,294,864,632.95/138,605.77
  6. Step 6: Final answer
    x = 81,489.14

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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.