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Finding the Fourth Proportional to 229,809.38, 344,714.17 and 72,050.13

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Solution

The fourth proportional to 229,809.38, 344,714.17 and 72,050.13 is: 108,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,809.38 : 344,714.17 = 72,050.13 : x
  2. Step 2: Convert to fraction form
    229,809.38/344,714.17 = 72,050.13/x
  3. Step 3: Cross multiply
    229,809.38x = 344,714.17 × 72,050.13
  4. Step 4: Simplify right side
    229,809.38x = 24,836,700,761.34
  5. Step 5: Solve for x
    x = 24,836,700,761.34/229,809.38
  6. Step 6: Final answer
    x = 108,075.23

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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.