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Finding the Fourth Proportional to 233,200.70, 349,714.65 and 75,434.30

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Solution

The fourth proportional to 233,200.70, 349,714.65 and 75,434.30 is: 113,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,200.70 : 349,714.65 = 75,434.30 : x
  2. Step 2: Convert to fraction form
    233,200.70/349,714.65 = 75,434.30/x
  3. Step 3: Cross multiply
    233,200.70x = 349,714.65 × 75,434.30
  4. Step 4: Simplify right side
    233,200.70x = 26,380,479,822.50
  5. Step 5: Solve for x
    x = 26,380,479,822.50/233,200.70
  6. Step 6: Final answer
    x = 113,123.50

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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.