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Finding the Fourth Proportional to 148,487.94, 204,910.86 and 83,956.11

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Solution

The fourth proportional to 148,487.94, 204,910.86 and 83,956.11 is: 115,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,487.94 : 204,910.86 = 83,956.11 : x
  2. Step 2: Convert to fraction form
    148,487.94/204,910.86 = 83,956.11/x
  3. Step 3: Cross multiply
    148,487.94x = 204,910.86 × 83,956.11
  4. Step 4: Simplify right side
    148,487.94x = 17,203,518,702.35
  5. Step 5: Solve for x
    x = 17,203,518,702.35/148,487.94
  6. Step 6: Final answer
    x = 115,858.02

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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.