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Finding the Fourth Proportional to 142,702.80, 214,035.69 and 53,944.74

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Solution

The fourth proportional to 142,702.80, 214,035.69 and 53,944.74 is: 80,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.80 : 214,035.69 = 53,944.74 : x
  2. Step 2: Convert to fraction form
    142,702.80/214,035.69 = 53,944.74/x
  3. Step 3: Cross multiply
    142,702.80x = 214,035.69 × 53,944.74
  4. Step 4: Simplify right side
    142,702.80x = 11,546,099,647.77
  5. Step 5: Solve for x
    x = 11,546,099,647.77/142,702.80
  6. Step 6: Final answer
    x = 80,910.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.