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Finding the Fourth Proportional to 156,742.82, 216,303.04 and 85,123.30

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Solution

The fourth proportional to 156,742.82, 216,303.04 and 85,123.30 is: 117,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742.82 : 216,303.04 = 85,123.30 : x
  2. Step 2: Convert to fraction form
    156,742.82/216,303.04 = 85,123.30/x
  3. Step 3: Cross multiply
    156,742.82x = 216,303.04 × 85,123.30
  4. Step 4: Simplify right side
    156,742.82x = 18,412,428,564.83
  5. Step 5: Solve for x
    x = 18,412,428,564.83/156,742.82
  6. Step 6: Final answer
    x = 117,469.04

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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.