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Finding the Fourth Proportional to 229,509.74, 316,717.10 and 127,532.56

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Solution

The fourth proportional to 229,509.74, 316,717.10 and 127,532.56 is: 175,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509.74 : 316,717.10 = 127,532.56 : x
  2. Step 2: Convert to fraction form
    229,509.74/316,717.10 = 127,532.56/x
  3. Step 3: Cross multiply
    229,509.74x = 316,717.10 × 127,532.56
  4. Step 4: Simplify right side
    229,509.74x = 40,391,741,921.11
  5. Step 5: Solve for x
    x = 40,391,741,921.11/229,509.74
  6. Step 6: Final answer
    x = 175,991.41

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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.