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Finding the Fourth Proportional to 220,665.47, 304,509.38 and 125,170.11

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Solution

The fourth proportional to 220,665.47, 304,509.38 and 125,170.11 is: 172,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,665.47 : 304,509.38 = 125,170.11 : x
  2. Step 2: Convert to fraction form
    220,665.47/304,509.38 = 125,170.11/x
  3. Step 3: Cross multiply
    220,665.47x = 304,509.38 × 125,170.11
  4. Step 4: Simplify right side
    220,665.47x = 38,115,471,964.78
  5. Step 5: Solve for x
    x = 38,115,471,964.78/220,665.47
  6. Step 6: Final answer
    x = 172,729.67

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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.