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Finding the Fourth Proportional to 215,509.61, 322,929.13 and 82,317.17

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Solution

The fourth proportional to 215,509.61, 322,929.13 and 82,317.17 is: 123,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,509.61 : 322,929.13 = 82,317.17 : x
  2. Step 2: Convert to fraction form
    215,509.61/322,929.13 = 82,317.17/x
  3. Step 3: Cross multiply
    215,509.61x = 322,929.13 × 82,317.17
  4. Step 4: Simplify right side
    215,509.61x = 26,582,612,092.16
  5. Step 5: Solve for x
    x = 26,582,612,092.16/215,509.61
  6. Step 6: Final answer
    x = 123,347.69

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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.