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Finding the Fourth Proportional to 131,085.98, 180,914.01 and 74,505.86

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Solution

The fourth proportional to 131,085.98, 180,914.01 and 74,505.86 is: 102,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,085.98 : 180,914.01 = 74,505.86 : x
  2. Step 2: Convert to fraction form
    131,085.98/180,914.01 = 74,505.86/x
  3. Step 3: Cross multiply
    131,085.98x = 180,914.01 × 74,505.86
  4. Step 4: Simplify right side
    131,085.98x = 13,479,153,901.10
  5. Step 5: Solve for x
    x = 13,479,153,901.10/131,085.98
  6. Step 6: Final answer
    x = 102,826.82

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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.