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Finding the Fourth Proportional to 232,655.52, 349,156.96 and 172,822.14

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Solution

The fourth proportional to 232,655.52, 349,156.96 and 172,822.14 is: 259,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,655.52 : 349,156.96 = 172,822.14 : x
  2. Step 2: Convert to fraction form
    232,655.52/349,156.96 = 172,822.14/x
  3. Step 3: Cross multiply
    232,655.52x = 349,156.96 × 172,822.14
  4. Step 4: Simplify right side
    232,655.52x = 60,342,053,023.09
  5. Step 5: Solve for x
    x = 60,342,053,023.09/232,655.52
  6. Step 6: Final answer
    x = 259,362.22

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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.