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Finding the Fourth Proportional to 232,459.90, 319,788 and 203,649.82

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Solution

The fourth proportional to 232,459.90, 319,788 and 203,649.82 is: 280,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,459.90 : 319,788 = 203,649.82 : x
  2. Step 2: Convert to fraction form
    232,459.90/319,788 = 203,649.82/x
  3. Step 3: Cross multiply
    232,459.90x = 319,788 × 203,649.82
  4. Step 4: Simplify right side
    232,459.90x = 65,124,768,638.16
  5. Step 5: Solve for x
    x = 65,124,768,638.16/232,459.90
  6. Step 6: Final answer
    x = 280,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.