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Finding the Fourth Proportional to 156,782.10, 216,359.51 and 85,162.12

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Solution

The fourth proportional to 156,782.10, 216,359.51 and 85,162.12 is: 117,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.10 : 216,359.51 = 85,162.12 : x
  2. Step 2: Convert to fraction form
    156,782.10/216,359.51 = 85,162.12/x
  3. Step 3: Cross multiply
    156,782.10x = 216,359.51 × 85,162.12
  4. Step 4: Simplify right side
    156,782.10x = 18,425,635,038.74
  5. Step 5: Solve for x
    x = 18,425,635,038.74/156,782.10
  6. Step 6: Final answer
    x = 117,523.84

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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.