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Finding the Fourth Proportional to 208,076.25, 287,114.45 and 126,362.01

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Solution

The fourth proportional to 208,076.25, 287,114.45 and 126,362.01 is: 174,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076.25 : 287,114.45 = 126,362.01 : x
  2. Step 2: Convert to fraction form
    208,076.25/287,114.45 = 126,362.01/x
  3. Step 3: Cross multiply
    208,076.25x = 287,114.45 × 126,362.01
  4. Step 4: Simplify right side
    208,076.25x = 36,280,359,446.91
  5. Step 5: Solve for x
    x = 36,280,359,446.91/208,076.25
  6. Step 6: Final answer
    x = 174,360.88

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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.