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Finding the Fourth Proportional to 209,224.32, 288,727.72 and 113,730.72

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Solution

The fourth proportional to 209,224.32, 288,727.72 and 113,730.72 is: 156,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.32 : 288,727.72 = 113,730.72 : x
  2. Step 2: Convert to fraction form
    209,224.32/288,727.72 = 113,730.72/x
  3. Step 3: Cross multiply
    209,224.32x = 288,727.72 × 113,730.72
  4. Step 4: Simplify right side
    209,224.32x = 32,837,211,479.56
  5. Step 5: Solve for x
    x = 32,837,211,479.56/209,224.32
  6. Step 6: Final answer
    x = 156,947.39

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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.