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Finding the Fourth Proportional to 208,079.38, 287,118.76 and 126,365.14

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Solution

The fourth proportional to 208,079.38, 287,118.76 and 126,365.14 is: 174,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,079.38 : 287,118.76 = 126,365.14 : x
  2. Step 2: Convert to fraction form
    208,079.38/287,118.76 = 126,365.14/x
  3. Step 3: Cross multiply
    208,079.38x = 287,118.76 × 126,365.14
  4. Step 4: Simplify right side
    208,079.38x = 36,281,802,304.03
  5. Step 5: Solve for x
    x = 36,281,802,304.03/208,079.38
  6. Step 6: Final answer
    x = 174,365.20

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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.