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Finding the Fourth Proportional to 232,287.14, 320,693.67 and 146,319.82

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Solution

The fourth proportional to 232,287.14, 320,693.67 and 146,319.82 is: 202,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,287.14 : 320,693.67 = 146,319.82 : x
  2. Step 2: Convert to fraction form
    232,287.14/320,693.67 = 146,319.82/x
  3. Step 3: Cross multiply
    232,287.14x = 320,693.67 × 146,319.82
  4. Step 4: Simplify right side
    232,287.14x = 46,923,837,734.47
  5. Step 5: Solve for x
    x = 46,923,837,734.47/232,287.14
  6. Step 6: Final answer
    x = 202,007.90

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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.