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Finding the Fourth Proportional to 137,437.01, 206,226.06 and 65,471.43

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Solution

The fourth proportional to 137,437.01, 206,226.06 and 65,471.43 is: 98,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,437.01 : 206,226.06 = 65,471.43 : x
  2. Step 2: Convert to fraction form
    137,437.01/206,226.06 = 65,471.43/x
  3. Step 3: Cross multiply
    137,437.01x = 206,226.06 × 65,471.43
  4. Step 4: Simplify right side
    137,437.01x = 13,501,915,051.47
  5. Step 5: Solve for x
    x = 13,501,915,051.47/137,437.01
  6. Step 6: Final answer
    x = 98,240.75

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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.