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Finding the Fourth Proportional to 156,716.30, 235,114.98 and 67,949.30

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Solution

The fourth proportional to 156,716.30, 235,114.98 and 67,949.30 is: 101,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,716.30 : 235,114.98 = 67,949.30 : x
  2. Step 2: Convert to fraction form
    156,716.30/235,114.98 = 67,949.30/x
  3. Step 3: Cross multiply
    156,716.30x = 235,114.98 × 67,949.30
  4. Step 4: Simplify right side
    156,716.30x = 15,975,898,310.51
  5. Step 5: Solve for x
    x = 15,975,898,310.51/156,716.30
  6. Step 6: Final answer
    x = 101,941.52

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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.