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Finding the Fourth Proportional to 285,233.68, 427,844.76 and 98,241.04

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Solution

The fourth proportional to 285,233.68, 427,844.76 and 98,241.04 is: 147,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,233.68 : 427,844.76 = 98,241.04 : x
  2. Step 2: Convert to fraction form
    285,233.68/427,844.76 = 98,241.04/x
  3. Step 3: Cross multiply
    285,233.68x = 427,844.76 × 98,241.04
  4. Step 4: Simplify right side
    285,233.68x = 42,031,914,180.95
  5. Step 5: Solve for x
    x = 42,031,914,180.95/285,233.68
  6. Step 6: Final answer
    x = 147,359.58

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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.