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Finding the Fourth Proportional to 162,821.60, 244,232.40 and 146,751.20

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Solution

The fourth proportional to 162,821.60, 244,232.40 and 146,751.20 is: 220,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,821.60 : 244,232.40 = 146,751.20 : x
  2. Step 2: Convert to fraction form
    162,821.60/244,232.40 = 146,751.20/x
  3. Step 3: Cross multiply
    162,821.60x = 244,232.40 × 146,751.20
  4. Step 4: Simplify right side
    162,821.60x = 35,841,397,778.88
  5. Step 5: Solve for x
    x = 35,841,397,778.88/162,821.60
  6. Step 6: Final answer
    x = 220,126.80

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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.