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Finding the Fourth Proportional to 215,737.32, 297,724.50 and 120,264.24

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Solution

The fourth proportional to 215,737.32, 297,724.50 and 120,264.24 is: 165,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,737.32 : 297,724.50 = 120,264.24 : x
  2. Step 2: Convert to fraction form
    215,737.32/297,724.50 = 120,264.24/x
  3. Step 3: Cross multiply
    215,737.32x = 297,724.50 × 120,264.24
  4. Step 4: Simplify right side
    215,737.32x = 35,805,610,721.88
  5. Step 5: Solve for x
    x = 35,805,610,721.88/215,737.32
  6. Step 6: Final answer
    x = 165,968.55

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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.