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Finding the Fourth Proportional to 149,042.32, 223,585.62 and 49,213

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Solution

The fourth proportional to 149,042.32, 223,585.62 and 49,213 is: 73,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,042.32 : 223,585.62 = 49,213 : x
  2. Step 2: Convert to fraction form
    149,042.32/223,585.62 = 49,213/x
  3. Step 3: Cross multiply
    149,042.32x = 223,585.62 × 49,213
  4. Step 4: Simplify right side
    149,042.32x = 11,003,319,117.06
  5. Step 5: Solve for x
    x = 11,003,319,117.06/149,042.32
  6. Step 6: Final answer
    x = 73,826.81

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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.