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Finding the Fourth Proportional to 162,927.20, 244,390.80 and 142,191.20

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Solution

The fourth proportional to 162,927.20, 244,390.80 and 142,191.20 is: 213,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,927.20 : 244,390.80 = 142,191.20 : x
  2. Step 2: Convert to fraction form
    162,927.20/244,390.80 = 142,191.20/x
  3. Step 3: Cross multiply
    162,927.20x = 244,390.80 × 142,191.20
  4. Step 4: Simplify right side
    162,927.20x = 34,750,221,120.96
  5. Step 5: Solve for x
    x = 34,750,221,120.96/162,927.20
  6. Step 6: Final answer
    x = 213,286.80

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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.