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Finding the Fourth Proportional to 255,721.76, 352,751.52 and 160,062.38

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Solution

The fourth proportional to 255,721.76, 352,751.52 and 160,062.38 is: 220,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,721.76 : 352,751.52 = 160,062.38 : x
  2. Step 2: Convert to fraction form
    255,721.76/352,751.52 = 160,062.38/x
  3. Step 3: Cross multiply
    255,721.76x = 352,751.52 × 160,062.38
  4. Step 4: Simplify right side
    255,721.76x = 56,462,247,839.82
  5. Step 5: Solve for x
    x = 56,462,247,839.82/255,721.76
  6. Step 6: Final answer
    x = 220,795.63

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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.