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Finding the Fourth Proportional to 161,854.64, 242,773.03 and 49,534.77

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Solution

The fourth proportional to 161,854.64, 242,773.03 and 49,534.77 is: 74,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,854.64 : 242,773.03 = 49,534.77 : x
  2. Step 2: Convert to fraction form
    161,854.64/242,773.03 = 49,534.77/x
  3. Step 3: Cross multiply
    161,854.64x = 242,773.03 × 49,534.77
  4. Step 4: Simplify right side
    161,854.64x = 12,025,707,175.57
  5. Step 5: Solve for x
    x = 12,025,707,175.57/161,854.64
  6. Step 6: Final answer
    x = 74,299.43

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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.