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Finding the Fourth Proportional to 130,957.25, 180,712.50 and 77,229.95

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Solution

The fourth proportional to 130,957.25, 180,712.50 and 77,229.95 is: 106,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,957.25 : 180,712.50 = 77,229.95 : x
  2. Step 2: Convert to fraction form
    130,957.25/180,712.50 = 77,229.95/x
  3. Step 3: Cross multiply
    130,957.25x = 180,712.50 × 77,229.95
  4. Step 4: Simplify right side
    130,957.25x = 13,956,417,339.38
  5. Step 5: Solve for x
    x = 13,956,417,339.38/130,957.25
  6. Step 6: Final answer
    x = 106,572.32

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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.