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Finding the Fourth Proportional to 123,168.80, 184,753.62 and 34,421.78

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Solution

The fourth proportional to 123,168.80, 184,753.62 and 34,421.78 is: 51,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,168.80 : 184,753.62 = 34,421.78 : x
  2. Step 2: Convert to fraction form
    123,168.80/184,753.62 = 34,421.78/x
  3. Step 3: Cross multiply
    123,168.80x = 184,753.62 × 34,421.78
  4. Step 4: Simplify right side
    123,168.80x = 6,359,547,538.08
  5. Step 5: Solve for x
    x = 6,359,547,538.08/123,168.80
  6. Step 6: Final answer
    x = 51,632.78

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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.