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Finding the Fourth Proportional to 215,098.52, 322,690.86 and 120,463.32

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Solution

The fourth proportional to 215,098.52, 322,690.86 and 120,463.32 is: 180,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,098.52 : 322,690.86 = 120,463.32 : x
  2. Step 2: Convert to fraction form
    215,098.52/322,690.86 = 120,463.32/x
  3. Step 3: Cross multiply
    215,098.52x = 322,690.86 × 120,463.32
  4. Step 4: Simplify right side
    215,098.52x = 38,872,412,329.26
  5. Step 5: Solve for x
    x = 38,872,412,329.26/215,098.52
  6. Step 6: Final answer
    x = 180,719.11

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Why These Related Problems?

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