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Finding the Fourth Proportional to 116,101.57, 160,071.85 and 75,193.42

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Solution

The fourth proportional to 116,101.57, 160,071.85 and 75,193.42 is: 103,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,101.57 : 160,071.85 = 75,193.42 : x
  2. Step 2: Convert to fraction form
    116,101.57/160,071.85 = 75,193.42/x
  3. Step 3: Cross multiply
    116,101.57x = 160,071.85 × 75,193.42
  4. Step 4: Simplify right side
    116,101.57x = 12,036,349,471.26
  5. Step 5: Solve for x
    x = 12,036,349,471.26/116,101.57
  6. Step 6: Final answer
    x = 103,670.86

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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.