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Finding the Fourth Proportional to 209,190.80, 288,686.23 and 113,697.47

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Solution

The fourth proportional to 209,190.80, 288,686.23 and 113,697.47 is: 156,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,190.80 : 288,686.23 = 113,697.47 : x
  2. Step 2: Convert to fraction form
    209,190.80/288,686.23 = 113,697.47/x
  3. Step 3: Cross multiply
    209,190.80x = 288,686.23 × 113,697.47
  4. Step 4: Simplify right side
    209,190.80x = 32,822,894,412.31
  5. Step 5: Solve for x
    x = 32,822,894,412.31/209,190.80
  6. Step 6: Final answer
    x = 156,904.10

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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.