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Finding the Fourth Proportional to 82,160.39, 113,354.84 and 64,877.90

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Solution

The fourth proportional to 82,160.39, 113,354.84 and 64,877.90 is: 89,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160.39 : 113,354.84 = 64,877.90 : x
  2. Step 2: Convert to fraction form
    82,160.39/113,354.84 = 64,877.90/x
  3. Step 3: Cross multiply
    82,160.39x = 113,354.84 × 64,877.90
  4. Step 4: Simplify right side
    82,160.39x = 7,354,223,649.65
  5. Step 5: Solve for x
    x = 7,354,223,649.65/82,160.39
  6. Step 6: Final answer
    x = 89,510.57

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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.