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Finding the Fourth Proportional to 261,014.40, 391,521.60 and 160,849.80

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Solution

The fourth proportional to 261,014.40, 391,521.60 and 160,849.80 is: 241,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,014.40 : 391,521.60 = 160,849.80 : x
  2. Step 2: Convert to fraction form
    261,014.40/391,521.60 = 160,849.80/x
  3. Step 3: Cross multiply
    261,014.40x = 391,521.60 × 160,849.80
  4. Step 4: Simplify right side
    261,014.40x = 62,976,171,055.68
  5. Step 5: Solve for x
    x = 62,976,171,055.68/261,014.40
  6. Step 6: Final answer
    x = 241,274.70

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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.