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Finding the Fourth Proportional to 255,972.38, 353,217.36 and 142,802.42

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Solution

The fourth proportional to 255,972.38, 353,217.36 and 142,802.42 is: 197,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,972.38 : 353,217.36 = 142,802.42 : x
  2. Step 2: Convert to fraction form
    255,972.38/353,217.36 = 142,802.42/x
  3. Step 3: Cross multiply
    255,972.38x = 353,217.36 × 142,802.42
  4. Step 4: Simplify right side
    255,972.38x = 50,440,293,794.01
  5. Step 5: Solve for x
    x = 50,440,293,794.01/255,972.38
  6. Step 6: Final answer
    x = 197,053.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.