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Finding the Fourth Proportional to 156,643.38, 216,162.08 and 85,021.88

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Solution

The fourth proportional to 156,643.38, 216,162.08 and 85,021.88 is: 117,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.38 : 216,162.08 = 85,021.88 : x
  2. Step 2: Convert to fraction form
    156,643.38/216,162.08 = 85,021.88/x
  3. Step 3: Cross multiply
    156,643.38x = 216,162.08 × 85,021.88
  4. Step 4: Simplify right side
    156,643.38x = 18,378,506,426.31
  5. Step 5: Solve for x
    x = 18,378,506,426.31/156,643.38
  6. Step 6: Final answer
    x = 117,327.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.