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Finding the Fourth Proportional to 156,965.68, 235,443.30 and 68,219.29

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Solution

The fourth proportional to 156,965.68, 235,443.30 and 68,219.29 is: 102,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.68 : 235,443.30 = 68,219.29 : x
  2. Step 2: Convert to fraction form
    156,965.68/235,443.30 = 68,219.29/x
  3. Step 3: Cross multiply
    156,965.68x = 235,443.30 × 68,219.29
  4. Step 4: Simplify right side
    156,965.68x = 16,061,774,761.26
  5. Step 5: Solve for x
    x = 16,061,774,761.26/156,965.68
  6. Step 6: Final answer
    x = 102,326.67

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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.