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Finding the Fourth Proportional to 209,188.56, 288,682.48 and 113,695.28

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Solution

The fourth proportional to 209,188.56, 288,682.48 and 113,695.28 is: 156,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,188.56 : 288,682.48 = 113,695.28 : x
  2. Step 2: Convert to fraction form
    209,188.56/288,682.48 = 113,695.28/x
  3. Step 3: Cross multiply
    209,188.56x = 288,682.48 × 113,695.28
  4. Step 4: Simplify right side
    209,188.56x = 32,821,835,394.69
  5. Step 5: Solve for x
    x = 32,821,835,394.69/209,188.56
  6. Step 6: Final answer
    x = 156,900.72

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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.