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Finding the Fourth Proportional to 180,423.88, 270,845.28 and 105,597.76

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Solution

The fourth proportional to 180,423.88, 270,845.28 and 105,597.76 is: 158,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,423.88 : 270,845.28 = 105,597.76 : x
  2. Step 2: Convert to fraction form
    180,423.88/270,845.28 = 105,597.76/x
  3. Step 3: Cross multiply
    180,423.88x = 270,845.28 × 105,597.76
  4. Step 4: Simplify right side
    180,423.88x = 28,600,654,874.57
  5. Step 5: Solve for x
    x = 28,600,654,874.57/180,423.88
  6. Step 6: Final answer
    x = 158,519.23

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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.