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Finding the Fourth Proportional to 175,920.71, 263,881.26 and 42,800.97

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Solution

The fourth proportional to 175,920.71, 263,881.26 and 42,800.97 is: 64,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,920.71 : 263,881.26 = 42,800.97 : x
  2. Step 2: Convert to fraction form
    175,920.71/263,881.26 = 42,800.97/x
  3. Step 3: Cross multiply
    175,920.71x = 263,881.26 × 42,800.97
  4. Step 4: Simplify right side
    175,920.71x = 11,294,373,892.82
  5. Step 5: Solve for x
    x = 11,294,373,892.82/175,920.71
  6. Step 6: Final answer
    x = 64,201.50

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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.