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Finding the Fourth Proportional to 265,021.74, 365,726.43 and 144,160.47

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Solution

The fourth proportional to 265,021.74, 365,726.43 and 144,160.47 is: 198,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,021.74 : 365,726.43 = 144,160.47 : x
  2. Step 2: Convert to fraction form
    265,021.74/365,726.43 = 144,160.47/x
  3. Step 3: Cross multiply
    265,021.74x = 365,726.43 × 144,160.47
  4. Step 4: Simplify right side
    265,021.74x = 52,723,294,040.22
  5. Step 5: Solve for x
    x = 52,723,294,040.22/265,021.74
  6. Step 6: Final answer
    x = 198,939.51

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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.