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Finding the Fourth Proportional to 260,085.01, 390,141 and 82,605.91

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Solution

The fourth proportional to 260,085.01, 390,141 and 82,605.91 is: 123,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,085.01 : 390,141 = 82,605.91 : x
  2. Step 2: Convert to fraction form
    260,085.01/390,141 = 82,605.91/x
  3. Step 3: Cross multiply
    260,085.01x = 390,141 × 82,605.91
  4. Step 4: Simplify right side
    260,085.01x = 32,227,950,382.61
  5. Step 5: Solve for x
    x = 32,227,950,382.61/260,085.01
  6. Step 6: Final answer
    x = 123,913.14

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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.