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Finding the Fourth Proportional to 176,842.72, 243,970.80 and 108,839.17

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Solution

The fourth proportional to 176,842.72, 243,970.80 and 108,839.17 is: 150,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,842.72 : 243,970.80 = 108,839.17 : x
  2. Step 2: Convert to fraction form
    176,842.72/243,970.80 = 108,839.17/x
  3. Step 3: Cross multiply
    176,842.72x = 243,970.80 × 108,839.17
  4. Step 4: Simplify right side
    176,842.72x = 26,553,579,376.24
  5. Step 5: Solve for x
    x = 26,553,579,376.24/176,842.72
  6. Step 6: Final answer
    x = 150,153.65

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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.