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Finding the Fourth Proportional to 123,377.68, 184,905.27 and 89,298.20

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Solution

The fourth proportional to 123,377.68, 184,905.27 and 89,298.20 is: 133,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,377.68 : 184,905.27 = 89,298.20 : x
  2. Step 2: Convert to fraction form
    123,377.68/184,905.27 = 89,298.20/x
  3. Step 3: Cross multiply
    123,377.68x = 184,905.27 × 89,298.20
  4. Step 4: Simplify right side
    123,377.68x = 16,511,707,781.51
  5. Step 5: Solve for x
    x = 16,511,707,781.51/123,377.68
  6. Step 6: Final answer
    x = 133,830.60

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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.