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Finding the Fourth Proportional to 209,129.66, 288,598.38 and 113,636.36

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Solution

The fourth proportional to 209,129.66, 288,598.38 and 113,636.36 is: 156,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,129.66 : 288,598.38 = 113,636.36 : x
  2. Step 2: Convert to fraction form
    209,129.66/288,598.38 = 113,636.36/x
  3. Step 3: Cross multiply
    209,129.66x = 288,598.38 × 113,636.36
  4. Step 4: Simplify right side
    209,129.66x = 32,795,270,126.59
  5. Step 5: Solve for x
    x = 32,795,270,126.59/209,129.66
  6. Step 6: Final answer
    x = 156,817.88

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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.