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Finding the Fourth Proportional to 175,881.97, 263,819.30 and 42,762.92

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Solution

The fourth proportional to 175,881.97, 263,819.30 and 42,762.92 is: 64,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,881.97 : 263,819.30 = 42,762.92 : x
  2. Step 2: Convert to fraction form
    175,881.97/263,819.30 = 42,762.92/x
  3. Step 3: Cross multiply
    175,881.97x = 263,819.30 × 42,762.92
  4. Step 4: Simplify right side
    175,881.97x = 11,281,683,406.54
  5. Step 5: Solve for x
    x = 11,281,683,406.54/175,881.97
  6. Step 6: Final answer
    x = 64,143.49

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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.