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Finding the Fourth Proportional to 100,077.66, 138,085.25 and 59,785.29

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Solution

The fourth proportional to 100,077.66, 138,085.25 and 59,785.29 is: 82,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.66 : 138,085.25 = 59,785.29 : x
  2. Step 2: Convert to fraction form
    100,077.66/138,085.25 = 59,785.29/x
  3. Step 3: Cross multiply
    100,077.66x = 138,085.25 × 59,785.29
  4. Step 4: Simplify right side
    100,077.66x = 8,255,466,417.05
  5. Step 5: Solve for x
    x = 8,255,466,417.05/100,077.66
  6. Step 6: Final answer
    x = 82,490.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.