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Finding the Fourth Proportional to 160,178.40, 240,194.70 and 71,386.20

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Solution

The fourth proportional to 160,178.40, 240,194.70 and 71,386.20 is: 107,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,178.40 : 240,194.70 = 71,386.20 : x
  2. Step 2: Convert to fraction form
    160,178.40/240,194.70 = 71,386.20/x
  3. Step 3: Cross multiply
    160,178.40x = 240,194.70 × 71,386.20
  4. Step 4: Simplify right side
    160,178.40x = 17,146,586,893.14
  5. Step 5: Solve for x
    x = 17,146,586,893.14/160,178.40
  6. Step 6: Final answer
    x = 107,046.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.