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Finding the Fourth Proportional to 261,597, 392,399.20 and 74,608.50

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Solution

The fourth proportional to 261,597, 392,399.20 and 74,608.50 is: 111,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,597 : 392,399.20 = 74,608.50 : x
  2. Step 2: Convert to fraction form
    261,597/392,399.20 = 74,608.50/x
  3. Step 3: Cross multiply
    261,597x = 392,399.20 × 74,608.50
  4. Step 4: Simplify right side
    261,597x = 29,276,315,713.20
  5. Step 5: Solve for x
    x = 29,276,315,713.20/261,597
  6. Step 6: Final answer
    x = 111,913.81

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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.