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Finding the Fourth Proportional to 142,517.61, 214,107.30 and 134,865

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Solution

The fourth proportional to 142,517.61, 214,107.30 and 134,865 is: 202,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517.61 : 214,107.30 = 134,865 : x
  2. Step 2: Convert to fraction form
    142,517.61/214,107.30 = 134,865/x
  3. Step 3: Cross multiply
    142,517.61x = 214,107.30 × 134,865
  4. Step 4: Simplify right side
    142,517.61x = 28,875,581,014.50
  5. Step 5: Solve for x
    x = 28,875,581,014.50/142,517.61
  6. Step 6: Final answer
    x = 202,610.62

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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.