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Finding the Fourth Proportional to 106,314.12, 159,570 and 53,761.32

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Solution

The fourth proportional to 106,314.12, 159,570 and 53,761.32 is: 80,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.12 : 159,570 = 53,761.32 : x
  2. Step 2: Convert to fraction form
    106,314.12/159,570 = 53,761.32/x
  3. Step 3: Cross multiply
    106,314.12x = 159,570 × 53,761.32
  4. Step 4: Simplify right side
    106,314.12x = 8,578,693,832.40
  5. Step 5: Solve for x
    x = 8,578,693,832.40/106,314.12
  6. Step 6: Final answer
    x = 80,691.95

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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.