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Finding the Fourth Proportional to 209,358.80, 288,926.94 and 113,863.58

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Solution

The fourth proportional to 209,358.80, 288,926.94 and 113,863.58 is: 157,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358.80 : 288,926.94 = 113,863.58 : x
  2. Step 2: Convert to fraction form
    209,358.80/288,926.94 = 113,863.58/x
  3. Step 3: Cross multiply
    209,358.80x = 288,926.94 × 113,863.58
  4. Step 4: Simplify right side
    209,358.80x = 32,898,255,746.85
  5. Step 5: Solve for x
    x = 32,898,255,746.85/209,358.80
  6. Step 6: Final answer
    x = 157,138.16

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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.