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Finding the Fourth Proportional to 252,376.40, 378,752.26 and 119,297.46

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Solution

The fourth proportional to 252,376.40, 378,752.26 and 119,297.46 is: 179,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,376.40 : 378,752.26 = 119,297.46 : x
  2. Step 2: Convert to fraction form
    252,376.40/378,752.26 = 119,297.46/x
  3. Step 3: Cross multiply
    252,376.40x = 378,752.26 × 119,297.46
  4. Step 4: Simplify right side
    252,376.40x = 45,184,182,587.26
  5. Step 5: Solve for x
    x = 45,184,182,587.26/252,376.40
  6. Step 6: Final answer
    x = 179,034.90

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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.