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Finding the Fourth Proportional to 174,902.40, 261,770.40 and 153,907.20

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Solution

The fourth proportional to 174,902.40, 261,770.40 and 153,907.20 is: 230,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,902.40 : 261,770.40 = 153,907.20 : x
  2. Step 2: Convert to fraction form
    174,902.40/261,770.40 = 153,907.20/x
  3. Step 3: Cross multiply
    174,902.40x = 261,770.40 × 153,907.20
  4. Step 4: Simplify right side
    174,902.40x = 40,288,349,306.88
  5. Step 5: Solve for x
    x = 40,288,349,306.88/174,902.40
  6. Step 6: Final answer
    x = 230,347.61

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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.