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Finding the Fourth Proportional to 148,702.86, 205,222.17 and 85,052.94

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Solution

The fourth proportional to 148,702.86, 205,222.17 and 85,052.94 is: 117,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702.86 : 205,222.17 = 85,052.94 : x
  2. Step 2: Convert to fraction form
    148,702.86/205,222.17 = 85,052.94/x
  3. Step 3: Cross multiply
    148,702.86x = 205,222.17 × 85,052.94
  4. Step 4: Simplify right side
    148,702.86x = 17,454,748,911.68
  5. Step 5: Solve for x
    x = 17,454,748,911.68/148,702.86
  6. Step 6: Final answer
    x = 117,380.05

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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.