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Finding the Fourth Proportional to 252,275.34, 378,388.44 and 102,524.61

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Solution

The fourth proportional to 252,275.34, 378,388.44 and 102,524.61 is: 153,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,275.34 : 378,388.44 = 102,524.61 : x
  2. Step 2: Convert to fraction form
    252,275.34/378,388.44 = 102,524.61/x
  3. Step 3: Cross multiply
    252,275.34x = 378,388.44 × 102,524.61
  4. Step 4: Simplify right side
    252,275.34x = 38,794,127,239.51
  5. Step 5: Solve for x
    x = 38,794,127,239.51/252,275.34
  6. Step 6: Final answer
    x = 153,776.93

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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.