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Finding the Fourth Proportional to 285,609, 394,140.42 and 158,292.81

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Solution

The fourth proportional to 285,609, 394,140.42 and 158,292.81 is: 218,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,609 : 394,140.42 = 158,292.81 : x
  2. Step 2: Convert to fraction form
    285,609/394,140.42 = 158,292.81/x
  3. Step 3: Cross multiply
    285,609x = 394,140.42 × 158,292.81
  4. Step 4: Simplify right side
    285,609x = 62,389,594,616.38
  5. Step 5: Solve for x
    x = 62,389,594,616.38/285,609
  6. Step 6: Final answer
    x = 218,444.08

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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.