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Finding the Fourth Proportional to 265,055.38, 365,749.11 and 157,604.65

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Solution

The fourth proportional to 265,055.38, 365,749.11 and 157,604.65 is: 217,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,055.38 : 365,749.11 = 157,604.65 : x
  2. Step 2: Convert to fraction form
    265,055.38/365,749.11 = 157,604.65/x
  3. Step 3: Cross multiply
    265,055.38x = 365,749.11 × 157,604.65
  4. Step 4: Simplify right side
    265,055.38x = 57,643,760,469.36
  5. Step 5: Solve for x
    x = 57,643,760,469.36/265,055.38
  6. Step 6: Final answer
    x = 217,478.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.