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Finding the Fourth Proportional to 233,099.89, 350,307.99 and 138,347.78

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Solution

The fourth proportional to 233,099.89, 350,307.99 and 138,347.78 is: 207,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,099.89 : 350,307.99 = 138,347.78 : x
  2. Step 2: Convert to fraction form
    233,099.89/350,307.99 = 138,347.78/x
  3. Step 3: Cross multiply
    233,099.89x = 350,307.99 × 138,347.78
  4. Step 4: Simplify right side
    233,099.89x = 48,464,332,951.70
  5. Step 5: Solve for x
    x = 48,464,332,951.70/233,099.89
  6. Step 6: Final answer
    x = 207,912.29

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1.5x scale

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.