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Finding the Fourth Proportional to 252,521.85, 378,873.90 and 156,347.16

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Solution

The fourth proportional to 252,521.85, 378,873.90 and 156,347.16 is: 234,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,521.85 : 378,873.90 = 156,347.16 : x
  2. Step 2: Convert to fraction form
    252,521.85/378,873.90 = 156,347.16/x
  3. Step 3: Cross multiply
    252,521.85x = 378,873.90 × 156,347.16
  4. Step 4: Simplify right side
    252,521.85x = 59,235,858,263.12
  5. Step 5: Solve for x
    x = 59,235,858,263.12/252,521.85
  6. Step 6: Final answer
    x = 234,577.16

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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.