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Finding the Fourth Proportional to 208,080.38, 287,120.14 and 126,366.14

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Solution

The fourth proportional to 208,080.38, 287,120.14 and 126,366.14 is: 174,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080.38 : 287,120.14 = 126,366.14 : x
  2. Step 2: Convert to fraction form
    208,080.38/287,120.14 = 126,366.14/x
  3. Step 3: Cross multiply
    208,080.38x = 287,120.14 × 126,366.14
  4. Step 4: Simplify right side
    208,080.38x = 36,282,263,808.06
  5. Step 5: Solve for x
    x = 36,282,263,808.06/208,080.38
  6. Step 6: Final answer
    x = 174,366.58

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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.