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Finding the Fourth Proportional to 264,708.66, 365,351.01 and 157,257.93

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Solution

The fourth proportional to 264,708.66, 365,351.01 and 157,257.93 is: 217,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,708.66 : 365,351.01 = 157,257.93 : x
  2. Step 2: Convert to fraction form
    264,708.66/365,351.01 = 157,257.93/x
  3. Step 3: Cross multiply
    264,708.66x = 365,351.01 × 157,257.93
  4. Step 4: Simplify right side
    264,708.66x = 57,454,343,556.01
  5. Step 5: Solve for x
    x = 57,454,343,556.01/264,708.66
  6. Step 6: Final answer
    x = 217,047.46

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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.