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Finding the Fourth Proportional to 156,800.12, 216,384.35 and 85,180.14

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Solution

The fourth proportional to 156,800.12, 216,384.35 and 85,180.14 is: 117,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,800.12 : 216,384.35 = 85,180.14 : x
  2. Step 2: Convert to fraction form
    156,800.12/216,384.35 = 85,180.14/x
  3. Step 3: Cross multiply
    156,800.12x = 216,384.35 × 85,180.14
  4. Step 4: Simplify right side
    156,800.12x = 18,431,648,800.91
  5. Step 5: Solve for x
    x = 18,431,648,800.91/156,800.12
  6. Step 6: Final answer
    x = 117,548.69

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