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Finding the Fourth Proportional to 106,183.84, 146,543.52 and 58,446.88

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Solution

The fourth proportional to 106,183.84, 146,543.52 and 58,446.88 is: 80,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,183.84 : 146,543.52 = 58,446.88 : x
  2. Step 2: Convert to fraction form
    106,183.84/146,543.52 = 58,446.88/x
  3. Step 3: Cross multiply
    106,183.84x = 146,543.52 × 58,446.88
  4. Step 4: Simplify right side
    106,183.84x = 8,565,011,528.22
  5. Step 5: Solve for x
    x = 8,565,011,528.22/106,183.84
  6. Step 6: Final answer
    x = 80,662.10

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1.5x scale

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.