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Finding the Fourth Proportional to 160,471, 240,712.08 and 76,187.80

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Solution

The fourth proportional to 160,471, 240,712.08 and 76,187.80 is: 114,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,471 : 240,712.08 = 76,187.80 : x
  2. Step 2: Convert to fraction form
    160,471/240,712.08 = 76,187.80/x
  3. Step 3: Cross multiply
    160,471x = 240,712.08 × 76,187.80
  4. Step 4: Simplify right side
    160,471x = 18,339,323,808.62
  5. Step 5: Solve for x
    x = 18,339,323,808.62/160,471
  6. Step 6: Final answer
    x = 114,284.35

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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.