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Finding the Fourth Proportional to 137,699.93, 206,559.86 and 57,657.38

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Solution

The fourth proportional to 137,699.93, 206,559.86 and 57,657.38 is: 86,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,699.93 : 206,559.86 = 57,657.38 : x
  2. Step 2: Convert to fraction form
    137,699.93/206,559.86 = 57,657.38/x
  3. Step 3: Cross multiply
    137,699.93x = 206,559.86 × 57,657.38
  4. Step 4: Simplify right side
    137,699.93x = 11,909,699,019.68
  5. Step 5: Solve for x
    x = 11,909,699,019.68/137,699.93
  6. Step 6: Final answer
    x = 86,490.23

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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.