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Finding the Fourth Proportional to 234,712.98, 323,904.10 and 127,283

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Solution

The fourth proportional to 234,712.98, 323,904.10 and 127,283 is: 175,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,712.98 : 323,904.10 = 127,283 : x
  2. Step 2: Convert to fraction form
    234,712.98/323,904.10 = 127,283/x
  3. Step 3: Cross multiply
    234,712.98x = 323,904.10 × 127,283
  4. Step 4: Simplify right side
    234,712.98x = 41,227,485,560.30
  5. Step 5: Solve for x
    x = 41,227,485,560.30/234,712.98
  6. Step 6: Final answer
    x = 175,650.64

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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.