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Finding the Fourth Proportional to 106,281.57, 146,665.57 and 57,882.40

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Solution

The fourth proportional to 106,281.57, 146,665.57 and 57,882.40 is: 79,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,281.57 : 146,665.57 = 57,882.40 : x
  2. Step 2: Convert to fraction form
    106,281.57/146,665.57 = 57,882.40/x
  3. Step 3: Cross multiply
    106,281.57x = 146,665.57 × 57,882.40
  4. Step 4: Simplify right side
    106,281.57x = 8,489,355,410.93
  5. Step 5: Solve for x
    x = 8,489,355,410.93/106,281.57
  6. Step 6: Final answer
    x = 79,876.08

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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.