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Finding the Fourth Proportional to 116,005.85, 160,093.56 and 72,424.25

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Solution

The fourth proportional to 116,005.85, 160,093.56 and 72,424.25 is: 99,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,005.85 : 160,093.56 = 72,424.25 : x
  2. Step 2: Convert to fraction form
    116,005.85/160,093.56 = 72,424.25/x
  3. Step 3: Cross multiply
    116,005.85x = 160,093.56 × 72,424.25
  4. Step 4: Simplify right side
    116,005.85x = 11,594,656,534.57
  5. Step 5: Solve for x
    x = 11,594,656,534.57/116,005.85
  6. Step 6: Final answer
    x = 99,948.90

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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.