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Finding the Fourth Proportional to 658,189, 987,283.50 and 159,553

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Solution

The fourth proportional to 658,189, 987,283.50 and 159,553 is: 239,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,189 : 987,283.50 = 159,553 : x
  2. Step 2: Convert to fraction form
    658,189/987,283.50 = 159,553/x
  3. Step 3: Cross multiply
    658,189x = 987,283.50 × 159,553
  4. Step 4: Simplify right side
    658,189x = 157,524,044,275.50
  5. Step 5: Solve for x
    x = 157,524,044,275.50/658,189
  6. Step 6: Final answer
    x = 239,329.50

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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.