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Finding the Fourth Proportional to 106,357.72, 146,771.78 and 57,960.08

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Solution

The fourth proportional to 106,357.72, 146,771.78 and 57,960.08 is: 79,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.72 : 146,771.78 = 57,960.08 : x
  2. Step 2: Convert to fraction form
    106,357.72/146,771.78 = 57,960.08/x
  3. Step 3: Cross multiply
    106,357.72x = 146,771.78 × 57,960.08
  4. Step 4: Simplify right side
    106,357.72x = 8,506,904,110.54
  5. Step 5: Solve for x
    x = 8,506,904,110.54/106,357.72
  6. Step 6: Final answer
    x = 79,983.89

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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.