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Finding the Fourth Proportional to 106,423.80, 146,882.34 and 64,005.72

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Solution

The fourth proportional to 106,423.80, 146,882.34 and 64,005.72 is: 88,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.80 : 146,882.34 = 64,005.72 : x
  2. Step 2: Convert to fraction form
    106,423.80/146,882.34 = 64,005.72/x
  3. Step 3: Cross multiply
    106,423.80x = 146,882.34 × 64,005.72
  4. Step 4: Simplify right side
    106,423.80x = 9,401,309,926.98
  5. Step 5: Solve for x
    x = 9,401,309,926.98/106,423.80
  6. Step 6: Final answer
    x = 88,338.42

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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.