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Finding the Fourth Proportional to 147,193.28, 220,636.56 and 68,242.40

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Solution

The fourth proportional to 147,193.28, 220,636.56 and 68,242.40 is: 102,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,193.28 : 220,636.56 = 68,242.40 : x
  2. Step 2: Convert to fraction form
    147,193.28/220,636.56 = 68,242.40/x
  3. Step 3: Cross multiply
    147,193.28x = 220,636.56 × 68,242.40
  4. Step 4: Simplify right side
    147,193.28x = 15,056,768,382.14
  5. Step 5: Solve for x
    x = 15,056,768,382.14/147,193.28
  6. Step 6: Final answer
    x = 102,292.50

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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.