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Finding the Fourth Proportional to 233,020.70, 349,531.05 and 149,039.90

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Solution

The fourth proportional to 233,020.70, 349,531.05 and 149,039.90 is: 223,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,020.70 : 349,531.05 = 149,039.90 : x
  2. Step 2: Convert to fraction form
    233,020.70/349,531.05 = 149,039.90/x
  3. Step 3: Cross multiply
    233,020.70x = 349,531.05 × 149,039.90
  4. Step 4: Simplify right side
    233,020.70x = 52,094,072,738.90
  5. Step 5: Solve for x
    x = 52,094,072,738.90/233,020.70
  6. Step 6: Final answer
    x = 223,559.85

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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.