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Finding the Fourth Proportional to 77,135.74, 106,502.49 and 60,158.95

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Solution

The fourth proportional to 77,135.74, 106,502.49 and 60,158.95 is: 83,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.74 : 106,502.49 = 60,158.95 : x
  2. Step 2: Convert to fraction form
    77,135.74/106,502.49 = 60,158.95/x
  3. Step 3: Cross multiply
    77,135.74x = 106,502.49 × 60,158.95
  4. Step 4: Simplify right side
    77,135.74x = 6,407,077,704.53
  5. Step 5: Solve for x
    x = 6,407,077,704.53/77,135.74
  6. Step 6: Final answer
    x = 83,062.38

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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.