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Finding the Fourth Proportional to 252,761.31, 378,954.86 and 152,897.22

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Solution

The fourth proportional to 252,761.31, 378,954.86 and 152,897.22 is: 229,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,761.31 : 378,954.86 = 152,897.22 : x
  2. Step 2: Convert to fraction form
    252,761.31/378,954.86 = 152,897.22/x
  3. Step 3: Cross multiply
    252,761.31x = 378,954.86 × 152,897.22
  4. Step 4: Simplify right side
    252,761.31x = 57,941,143,835.00
  5. Step 5: Solve for x
    x = 57,941,143,835.00/252,761.31
  6. Step 6: Final answer
    x = 229,232.65

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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.