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Finding the Fourth Proportional to 159,023.16, 219,456 and 87,405

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Solution

The fourth proportional to 159,023.16, 219,456 and 87,405 is: 120,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,023.16 : 219,456 = 87,405 : x
  2. Step 2: Convert to fraction form
    159,023.16/219,456 = 87,405/x
  3. Step 3: Cross multiply
    159,023.16x = 219,456 × 87,405
  4. Step 4: Simplify right side
    159,023.16x = 19,181,551,680
  5. Step 5: Solve for x
    x = 19,181,551,680/159,023.16
  6. Step 6: Final answer
    x = 120,621.12

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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.