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Finding the Fourth Proportional to 137,314.35, 206,794.40 and 120,854.34

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Solution

The fourth proportional to 137,314.35, 206,794.40 and 120,854.34 is: 182,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.35 : 206,794.40 = 120,854.34 : x
  2. Step 2: Convert to fraction form
    137,314.35/206,794.40 = 120,854.34/x
  3. Step 3: Cross multiply
    137,314.35x = 206,794.40 × 120,854.34
  4. Step 4: Simplify right side
    137,314.35x = 24,992,000,123.42
  5. Step 5: Solve for x
    x = 24,992,000,123.42/137,314.35
  6. Step 6: Final answer
    x = 182,005.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.