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Finding the Fourth Proportional to 233,211.70, 349,731.15 and 75,445.30

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Solution

The fourth proportional to 233,211.70, 349,731.15 and 75,445.30 is: 113,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,211.70 : 349,731.15 = 75,445.30 : x
  2. Step 2: Convert to fraction form
    233,211.70/349,731.15 = 75,445.30/x
  3. Step 3: Cross multiply
    233,211.70x = 349,731.15 × 75,445.30
  4. Step 4: Simplify right side
    233,211.70x = 26,385,571,531.10
  5. Step 5: Solve for x
    x = 26,385,571,531.10/233,211.70
  6. Step 6: Final answer
    x = 113,140.00

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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.