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Finding the Fourth Proportional to 232,774.56, 349,153.20 and 138,656.16

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Solution

The fourth proportional to 232,774.56, 349,153.20 and 138,656.16 is: 207,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,774.56 : 349,153.20 = 138,656.16 : x
  2. Step 2: Convert to fraction form
    232,774.56/349,153.20 = 138,656.16/x
  3. Step 3: Cross multiply
    232,774.56x = 349,153.20 × 138,656.16
  4. Step 4: Simplify right side
    232,774.56x = 48,412,241,963.71
  5. Step 5: Solve for x
    x = 48,412,241,963.71/232,774.56
  6. Step 6: Final answer
    x = 207,979.09

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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.