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Finding the Fourth Proportional to 106,814.67, 147,525.39 and 72,764.16

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Solution

The fourth proportional to 106,814.67, 147,525.39 and 72,764.16 is: 100,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.67 : 147,525.39 = 72,764.16 : x
  2. Step 2: Convert to fraction form
    106,814.67/147,525.39 = 72,764.16/x
  3. Step 3: Cross multiply
    106,814.67x = 147,525.39 × 72,764.16
  4. Step 4: Simplify right side
    106,814.67x = 10,734,561,082.02
  5. Step 5: Solve for x
    x = 10,734,561,082.02/106,814.67
  6. Step 6: Final answer
    x = 100,497.07

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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.