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Finding the Fourth Proportional to 156,945.23, 216,582 and 85,324.62

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Solution

The fourth proportional to 156,945.23, 216,582 and 85,324.62 is: 117,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,945.23 : 216,582 = 85,324.62 : x
  2. Step 2: Convert to fraction form
    156,945.23/216,582 = 85,324.62/x
  3. Step 3: Cross multiply
    156,945.23x = 216,582 × 85,324.62
  4. Step 4: Simplify right side
    156,945.23x = 18,479,776,848.84
  5. Step 5: Solve for x
    x = 18,479,776,848.84/156,945.23
  6. Step 6: Final answer
    x = 117,746.67

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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.