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Finding the Fourth Proportional to 133,531.61, 184,398.53 and 85,867.77

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Solution

The fourth proportional to 133,531.61, 184,398.53 and 85,867.77 is: 118,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,531.61 : 184,398.53 = 85,867.77 : x
  2. Step 2: Convert to fraction form
    133,531.61/184,398.53 = 85,867.77/x
  3. Step 3: Cross multiply
    133,531.61x = 184,398.53 × 85,867.77
  4. Step 4: Simplify right side
    133,531.61x = 15,833,890,562.38
  5. Step 5: Solve for x
    x = 15,833,890,562.38/133,531.61
  6. Step 6: Final answer
    x = 118,577.85

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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.