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Finding the Fourth Proportional to 136,566.82, 204,709.92 and 52,307.20

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Solution

The fourth proportional to 136,566.82, 204,709.92 and 52,307.20 is: 78,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,566.82 : 204,709.92 = 52,307.20 : x
  2. Step 2: Convert to fraction form
    136,566.82/204,709.92 = 52,307.20/x
  3. Step 3: Cross multiply
    136,566.82x = 204,709.92 × 52,307.20
  4. Step 4: Simplify right side
    136,566.82x = 10,707,802,727.42
  5. Step 5: Solve for x
    x = 10,707,802,727.42/136,566.82
  6. Step 6: Final answer
    x = 78,407.06

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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.