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Finding the Fourth Proportional to 156,507.66, 234,734.22 and 72,260.64

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Solution

The fourth proportional to 156,507.66, 234,734.22 and 72,260.64 is: 108,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,507.66 : 234,734.22 = 72,260.64 : x
  2. Step 2: Convert to fraction form
    156,507.66/234,734.22 = 72,260.64/x
  3. Step 3: Cross multiply
    156,507.66x = 234,734.22 × 72,260.64
  4. Step 4: Simplify right side
    156,507.66x = 16,962,044,967.10
  5. Step 5: Solve for x
    x = 16,962,044,967.10/156,507.66
  6. Step 6: Final answer
    x = 108,378.37

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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.