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Finding the Fourth Proportional to 156,636.19, 216,158.14 and 85,016.23

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Solution

The fourth proportional to 156,636.19, 216,158.14 and 85,016.23 is: 117,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,636.19 : 216,158.14 = 85,016.23 : x
  2. Step 2: Convert to fraction form
    156,636.19/216,158.14 = 85,016.23/x
  3. Step 3: Cross multiply
    156,636.19x = 216,158.14 × 85,016.23
  4. Step 4: Simplify right side
    156,636.19x = 18,376,950,928.38
  5. Step 5: Solve for x
    x = 18,376,950,928.38/156,636.19
  6. Step 6: Final answer
    x = 117,322.51

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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.