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Finding the Fourth Proportional to 149,568.83, 224,166.15 and 74,709.87

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Solution

The fourth proportional to 149,568.83, 224,166.15 and 74,709.87 is: 111,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.83 : 224,166.15 = 74,709.87 : x
  2. Step 2: Convert to fraction form
    149,568.83/224,166.15 = 74,709.87/x
  3. Step 3: Cross multiply
    149,568.83x = 224,166.15 × 74,709.87
  4. Step 4: Simplify right side
    149,568.83x = 16,747,423,924.90
  5. Step 5: Solve for x
    x = 16,747,423,924.90/149,568.83
  6. Step 6: Final answer
    x = 111,971.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.