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Finding the Fourth Proportional to 252,017.20, 378,025.80 and 158,705.20

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Solution

The fourth proportional to 252,017.20, 378,025.80 and 158,705.20 is: 238,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,017.20 : 378,025.80 = 158,705.20 : x
  2. Step 2: Convert to fraction form
    252,017.20/378,025.80 = 158,705.20/x
  3. Step 3: Cross multiply
    252,017.20x = 378,025.80 × 158,705.20
  4. Step 4: Simplify right side
    252,017.20x = 59,994,660,194.16
  5. Step 5: Solve for x
    x = 59,994,660,194.16/252,017.20
  6. Step 6: Final answer
    x = 238,057.80

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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.