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Finding the Fourth Proportional to 171,424.64, 236,590.80 and 95,978

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Solution

The fourth proportional to 171,424.64, 236,590.80 and 95,978 is: 132,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,424.64 : 236,590.80 = 95,978 : x
  2. Step 2: Convert to fraction form
    171,424.64/236,590.80 = 95,978/x
  3. Step 3: Cross multiply
    171,424.64x = 236,590.80 × 95,978
  4. Step 4: Simplify right side
    171,424.64x = 22,707,511,802.40
  5. Step 5: Solve for x
    x = 22,707,511,802.40/171,424.64
  6. Step 6: Final answer
    x = 132,463.52

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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.