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Finding the Fourth Proportional to 209,100.57, 288,549.38 and 118,454.69

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Solution

The fourth proportional to 209,100.57, 288,549.38 and 118,454.69 is: 163,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100.57 : 288,549.38 = 118,454.69 : x
  2. Step 2: Convert to fraction form
    209,100.57/288,549.38 = 118,454.69/x
  3. Step 3: Cross multiply
    209,100.57x = 288,549.38 × 118,454.69
  4. Step 4: Simplify right side
    209,100.57x = 34,180,027,357.59
  5. Step 5: Solve for x
    x = 34,180,027,357.59/209,100.57
  6. Step 6: Final answer
    x = 163,462.14

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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.