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Finding the Fourth Proportional to 117,456, 176,209.92 and 43,584

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Solution

The fourth proportional to 117,456, 176,209.92 and 43,584 is: 65,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,456 : 176,209.92 = 43,584 : x
  2. Step 2: Convert to fraction form
    117,456/176,209.92 = 43,584/x
  3. Step 3: Cross multiply
    117,456x = 176,209.92 × 43,584
  4. Step 4: Simplify right side
    117,456x = 7,679,933,153.28
  5. Step 5: Solve for x
    x = 7,679,933,153.28/117,456
  6. Step 6: Final answer
    x = 65,385.62

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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.