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Finding the Fourth Proportional to 137,658.18, 206,562.50 and 53,421.66

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Solution

The fourth proportional to 137,658.18, 206,562.50 and 53,421.66 is: 80,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,658.18 : 206,562.50 = 53,421.66 : x
  2. Step 2: Convert to fraction form
    137,658.18/206,562.50 = 53,421.66/x
  3. Step 3: Cross multiply
    137,658.18x = 206,562.50 × 53,421.66
  4. Step 4: Simplify right side
    137,658.18x = 11,034,911,643.75
  5. Step 5: Solve for x
    x = 11,034,911,643.75/137,658.18
  6. Step 6: Final answer
    x = 80,161.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.