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Finding the Fourth Proportional to 208,787.78, 288,127.91 and 113,294.48

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Solution

The fourth proportional to 208,787.78, 288,127.91 and 113,294.48 is: 156,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,787.78 : 288,127.91 = 113,294.48 : x
  2. Step 2: Convert to fraction form
    208,787.78/288,127.91 = 113,294.48/x
  3. Step 3: Cross multiply
    208,787.78x = 288,127.91 × 113,294.48
  4. Step 4: Simplify right side
    208,787.78x = 32,643,301,273.84
  5. Step 5: Solve for x
    x = 32,643,301,273.84/208,787.78
  6. Step 6: Final answer
    x = 156,346.80

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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.