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Finding the Fourth Proportional to 209,151.96, 288,617.85 and 113,658

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Solution

The fourth proportional to 209,151.96, 288,617.85 and 113,658 is: 156,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,151.96 : 288,617.85 = 113,658 : x
  2. Step 2: Convert to fraction form
    209,151.96/288,617.85 = 113,658/x
  3. Step 3: Cross multiply
    209,151.96x = 288,617.85 × 113,658
  4. Step 4: Simplify right side
    209,151.96x = 32,803,727,595.30
  5. Step 5: Solve for x
    x = 32,803,727,595.30/209,151.96
  6. Step 6: Final answer
    x = 156,841.60

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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.