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Finding the Fourth Proportional to 252,283.34, 378,400.44 and 102,532.61

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Solution

The fourth proportional to 252,283.34, 378,400.44 and 102,532.61 is: 153,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,283.34 : 378,400.44 = 102,532.61 : x
  2. Step 2: Convert to fraction form
    252,283.34/378,400.44 = 102,532.61/x
  3. Step 3: Cross multiply
    252,283.34x = 378,400.44 × 102,532.61
  4. Step 4: Simplify right side
    252,283.34x = 38,798,384,738.35
  5. Step 5: Solve for x
    x = 38,798,384,738.35/252,283.34
  6. Step 6: Final answer
    x = 153,788.93

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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.