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Finding the Fourth Proportional to 149,924.16, 224,920.16 and 44,739.20

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Solution

The fourth proportional to 149,924.16, 224,920.16 and 44,739.20 is: 67,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,924.16 : 224,920.16 = 44,739.20 : x
  2. Step 2: Convert to fraction form
    149,924.16/224,920.16 = 44,739.20/x
  3. Step 3: Cross multiply
    149,924.16x = 224,920.16 × 44,739.20
  4. Step 4: Simplify right side
    149,924.16x = 10,062,748,022.27
  5. Step 5: Solve for x
    x = 10,062,748,022.27/149,924.16
  6. Step 6: Final answer
    x = 67,118.92

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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.