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Finding the Fourth Proportional to 75,856.45, 106,002.20 and 75,856.45

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Solution

The fourth proportional to 75,856.45, 106,002.20 and 75,856.45 is: 106,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.45 : 106,002.20 = 75,856.45 : x
  2. Step 2: Convert to fraction form
    75,856.45/106,002.20 = 75,856.45/x
  3. Step 3: Cross multiply
    75,856.45x = 106,002.20 × 75,856.45
  4. Step 4: Simplify right side
    75,856.45x = 8,040,950,584.19
  5. Step 5: Solve for x
    x = 8,040,950,584.19/75,856.45
  6. Step 6: Final answer
    x = 106,002.20

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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.