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Finding the Fourth Proportional to 137,686.10, 206,534.24 and 37,854.10

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Solution

The fourth proportional to 137,686.10, 206,534.24 and 37,854.10 is: 56,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,686.10 : 206,534.24 = 37,854.10 : x
  2. Step 2: Convert to fraction form
    137,686.10/206,534.24 = 37,854.10/x
  3. Step 3: Cross multiply
    137,686.10x = 206,534.24 × 37,854.10
  4. Step 4: Simplify right side
    137,686.10x = 7,818,166,552.44
  5. Step 5: Solve for x
    x = 7,818,166,552.44/137,686.10
  6. Step 6: Final answer
    x = 56,782.54

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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.