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Finding the Fourth Proportional to 156,965.69, 235,443.27 and 68,219.19

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Solution

The fourth proportional to 156,965.69, 235,443.27 and 68,219.19 is: 102,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.69 : 235,443.27 = 68,219.19 : x
  2. Step 2: Convert to fraction form
    156,965.69/235,443.27 = 68,219.19/x
  3. Step 3: Cross multiply
    156,965.69x = 235,443.27 × 68,219.19
  4. Step 4: Simplify right side
    156,965.69x = 16,061,749,426.17
  5. Step 5: Solve for x
    x = 16,061,749,426.17/156,965.69
  6. Step 6: Final answer
    x = 102,326.50

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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.