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Finding the Fourth Proportional to 106,097.42, 146,414.84 and 58,353.77

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Solution

The fourth proportional to 106,097.42, 146,414.84 and 58,353.77 is: 80,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,097.42 : 146,414.84 = 58,353.77 : x
  2. Step 2: Convert to fraction form
    106,097.42/146,414.84 = 58,353.77/x
  3. Step 3: Cross multiply
    106,097.42x = 146,414.84 × 58,353.77
  4. Step 4: Simplify right side
    106,097.42x = 8,543,857,165.87
  5. Step 5: Solve for x
    x = 8,543,857,165.87/106,097.42
  6. Step 6: Final answer
    x = 80,528.42

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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.