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Finding the Fourth Proportional to 233,678.40, 349,711.20 and 140,251.20

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Solution

The fourth proportional to 233,678.40, 349,711.20 and 140,251.20 is: 209,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,678.40 : 349,711.20 = 140,251.20 : x
  2. Step 2: Convert to fraction form
    233,678.40/349,711.20 = 140,251.20/x
  3. Step 3: Cross multiply
    233,678.40x = 349,711.20 × 140,251.20
  4. Step 4: Simplify right side
    233,678.40x = 49,047,415,453.44
  5. Step 5: Solve for x
    x = 49,047,415,453.44/233,678.40
  6. Step 6: Final answer
    x = 209,892.81

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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.