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Finding the Fourth Proportional to 149,301.64, 223,904.22 and 49,443.40

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Solution

The fourth proportional to 149,301.64, 223,904.22 and 49,443.40 is: 74,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,301.64 : 223,904.22 = 49,443.40 : x
  2. Step 2: Convert to fraction form
    149,301.64/223,904.22 = 49,443.40/x
  3. Step 3: Cross multiply
    149,301.64x = 223,904.22 × 49,443.40
  4. Step 4: Simplify right side
    149,301.64x = 11,070,585,911.15
  5. Step 5: Solve for x
    x = 11,070,585,911.15/149,301.64
  6. Step 6: Final answer
    x = 74,149.12

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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.