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Finding the Fourth Proportional to 208,078.38, 287,117.38 and 126,364.14

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Solution

The fourth proportional to 208,078.38, 287,117.38 and 126,364.14 is: 174,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.38 : 287,117.38 = 126,364.14 : x
  2. Step 2: Convert to fraction form
    208,078.38/287,117.38 = 126,364.14/x
  3. Step 3: Cross multiply
    208,078.38x = 287,117.38 × 126,364.14
  4. Step 4: Simplify right side
    208,078.38x = 36,281,340,802.75
  5. Step 5: Solve for x
    x = 36,281,340,802.75/208,078.38
  6. Step 6: Final answer
    x = 174,363.82

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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.