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Finding the Fourth Proportional to 180,257.10, 270,385.65 and 156,929.10

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Solution

The fourth proportional to 180,257.10, 270,385.65 and 156,929.10 is: 235,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,257.10 : 270,385.65 = 156,929.10 : x
  2. Step 2: Convert to fraction form
    180,257.10/270,385.65 = 156,929.10/x
  3. Step 3: Cross multiply
    180,257.10x = 270,385.65 × 156,929.10
  4. Step 4: Simplify right side
    180,257.10x = 42,431,376,707.42
  5. Step 5: Solve for x
    x = 42,431,376,707.42/180,257.10
  6. Step 6: Final answer
    x = 235,393.65

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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.