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Finding the Fourth Proportional to 136,646.48, 204,952.76 and 36,814.48

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Solution

The fourth proportional to 136,646.48, 204,952.76 and 36,814.48 is: 55,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,646.48 : 204,952.76 = 36,814.48 : x
  2. Step 2: Convert to fraction form
    136,646.48/204,952.76 = 36,814.48/x
  3. Step 3: Cross multiply
    136,646.48x = 204,952.76 × 36,814.48
  4. Step 4: Simplify right side
    136,646.48x = 7,545,229,283.96
  5. Step 5: Solve for x
    x = 7,545,229,283.96/136,646.48
  6. Step 6: Final answer
    x = 55,217.15

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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.