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Finding the Fourth Proportional to 106,612.74, 160,015.84 and 56,734.83

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Solution

The fourth proportional to 106,612.74, 160,015.84 and 56,734.83 is: 85,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,612.74 : 160,015.84 = 56,734.83 : x
  2. Step 2: Convert to fraction form
    106,612.74/160,015.84 = 56,734.83/x
  3. Step 3: Cross multiply
    106,612.74x = 160,015.84 × 56,734.83
  4. Step 4: Simplify right side
    106,612.74x = 9,078,471,337.87
  5. Step 5: Solve for x
    x = 9,078,471,337.87/106,612.74
  6. Step 6: Final answer
    x = 85,153.72

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1.5x scale

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.