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Finding the Fourth Proportional to 285,233.93, 427,845.14 and 98,241.29

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Solution

The fourth proportional to 285,233.93, 427,845.14 and 98,241.29 is: 147,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,233.93 : 427,845.14 = 98,241.29 : x
  2. Step 2: Convert to fraction form
    285,233.93/427,845.14 = 98,241.29/x
  3. Step 3: Cross multiply
    285,233.93x = 427,845.14 × 98,241.29
  4. Step 4: Simplify right side
    285,233.93x = 42,032,057,982.62
  5. Step 5: Solve for x
    x = 42,032,057,982.62/285,233.93
  6. Step 6: Final answer
    x = 147,359.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.