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Finding the Fourth Proportional to 209,152.44, 288,630.12 and 113,658.92

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Solution

The fourth proportional to 209,152.44, 288,630.12 and 113,658.92 is: 156,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,152.44 : 288,630.12 = 113,658.92 : x
  2. Step 2: Convert to fraction form
    209,152.44/288,630.12 = 113,658.92/x
  3. Step 3: Cross multiply
    209,152.44x = 288,630.12 × 113,658.92
  4. Step 4: Simplify right side
    209,152.44x = 32,805,387,718.67
  5. Step 5: Solve for x
    x = 32,805,387,718.67/209,152.44
  6. Step 6: Final answer
    x = 156,849.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.