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Finding the Fourth Proportional to 137,561.90, 206,148.45 and 84,814.70

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Solution

The fourth proportional to 137,561.90, 206,148.45 and 84,814.70 is: 127,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.90 : 206,148.45 = 84,814.70 : x
  2. Step 2: Convert to fraction form
    137,561.90/206,148.45 = 84,814.70/x
  3. Step 3: Cross multiply
    137,561.90x = 206,148.45 × 84,814.70
  4. Step 4: Simplify right side
    137,561.90x = 17,484,418,942.22
  5. Step 5: Solve for x
    x = 17,484,418,942.22/137,561.90
  6. Step 6: Final answer
    x = 127,102.19

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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.