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Finding the Fourth Proportional to 239,411, 359,116.50 and 91,667

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Solution

The fourth proportional to 239,411, 359,116.50 and 91,667 is: 137,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,411 : 359,116.50 = 91,667 : x
  2. Step 2: Convert to fraction form
    239,411/359,116.50 = 91,667/x
  3. Step 3: Cross multiply
    239,411x = 359,116.50 × 91,667
  4. Step 4: Simplify right side
    239,411x = 32,919,132,205.50
  5. Step 5: Solve for x
    x = 32,919,132,205.50/239,411
  6. Step 6: Final answer
    x = 137,500.50

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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.