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Finding the Fourth Proportional to 116,471.32, 160,747.68 and 71,175.40

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Solution

The fourth proportional to 116,471.32, 160,747.68 and 71,175.40 is: 98,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.32 : 160,747.68 = 71,175.40 : x
  2. Step 2: Convert to fraction form
    116,471.32/160,747.68 = 71,175.40/x
  3. Step 3: Cross multiply
    116,471.32x = 160,747.68 × 71,175.40
  4. Step 4: Simplify right side
    116,471.32x = 11,441,280,423.07
  5. Step 5: Solve for x
    x = 11,441,280,423.07/116,471.32
  6. Step 6: Final answer
    x = 98,232.60

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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.