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Finding the Fourth Proportional to 137,712.42, 206,656.02 and 58,827.24

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Solution

The fourth proportional to 137,712.42, 206,656.02 and 58,827.24 is: 88,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.42 : 206,656.02 = 58,827.24 : x
  2. Step 2: Convert to fraction form
    137,712.42/206,656.02 = 58,827.24/x
  3. Step 3: Cross multiply
    137,712.42x = 206,656.02 × 58,827.24
  4. Step 4: Simplify right side
    137,712.42x = 12,157,003,285.98
  5. Step 5: Solve for x
    x = 12,157,003,285.98/137,712.42
  6. Step 6: Final answer
    x = 88,278.19

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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.