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Finding the Fourth Proportional to 123,431.80, 185,154.61 and 34,678.38

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Solution

The fourth proportional to 123,431.80, 185,154.61 and 34,678.38 is: 52,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,431.80 : 185,154.61 = 34,678.38 : x
  2. Step 2: Convert to fraction form
    123,431.80/185,154.61 = 34,678.38/x
  3. Step 3: Cross multiply
    123,431.80x = 185,154.61 × 34,678.38
  4. Step 4: Simplify right side
    123,431.80x = 6,420,860,825.17
  5. Step 5: Solve for x
    x = 6,420,860,825.17/123,431.80
  6. Step 6: Final answer
    x = 52,019.50

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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.