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Finding the Fourth Proportional to 151,298.20, 227,020.20 and 106,829.20

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Solution

The fourth proportional to 151,298.20, 227,020.20 and 106,829.20 is: 160,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,298.20 : 227,020.20 = 106,829.20 : x
  2. Step 2: Convert to fraction form
    151,298.20/227,020.20 = 106,829.20/x
  3. Step 3: Cross multiply
    151,298.20x = 227,020.20 × 106,829.20
  4. Step 4: Simplify right side
    151,298.20x = 24,252,386,349.84
  5. Step 5: Solve for x
    x = 24,252,386,349.84/151,298.20
  6. Step 6: Final answer
    x = 160,295.27

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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.