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Finding the Fourth Proportional to 285,572.44, 394,092.30 and 158,250.16

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Solution

The fourth proportional to 285,572.44, 394,092.30 and 158,250.16 is: 218,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,572.44 : 394,092.30 = 158,250.16 : x
  2. Step 2: Convert to fraction form
    285,572.44/394,092.30 = 158,250.16/x
  3. Step 3: Cross multiply
    285,572.44x = 394,092.30 × 158,250.16
  4. Step 4: Simplify right side
    285,572.44x = 62,365,169,529.77
  5. Step 5: Solve for x
    x = 62,365,169,529.77/285,572.44
  6. Step 6: Final answer
    x = 218,386.51

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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.