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Finding the Fourth Proportional to 75,986.30, 106,614.10 and 75,986.30

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Solution

The fourth proportional to 75,986.30, 106,614.10 and 75,986.30 is: 106,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,986.30 : 106,614.10 = 75,986.30 : x
  2. Step 2: Convert to fraction form
    75,986.30/106,614.10 = 75,986.30/x
  3. Step 3: Cross multiply
    75,986.30x = 106,614.10 × 75,986.30
  4. Step 4: Simplify right side
    75,986.30x = 8,101,210,986.83
  5. Step 5: Solve for x
    x = 8,101,210,986.83/75,986.30
  6. Step 6: Final answer
    x = 106,614.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.