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Finding the Fourth Proportional to 106,412.68, 146,844.98 and 58,013.56

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Solution

The fourth proportional to 106,412.68, 146,844.98 and 58,013.56 is: 80,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.68 : 146,844.98 = 58,013.56 : x
  2. Step 2: Convert to fraction form
    106,412.68/146,844.98 = 58,013.56/x
  3. Step 3: Cross multiply
    106,412.68x = 146,844.98 × 58,013.56
  4. Step 4: Simplify right side
    106,412.68x = 8,519,000,057.93
  5. Step 5: Solve for x
    x = 8,519,000,057.93/106,412.68
  6. Step 6: Final answer
    x = 80,056.25

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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.