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Finding the Fourth Proportional to 217,603.86, 300,216.34 and 142,196.10

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Solution

The fourth proportional to 217,603.86, 300,216.34 and 142,196.10 is: 196,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,603.86 : 300,216.34 = 142,196.10 : x
  2. Step 2: Convert to fraction form
    217,603.86/300,216.34 = 142,196.10/x
  3. Step 3: Cross multiply
    217,603.86x = 300,216.34 × 142,196.10
  4. Step 4: Simplify right side
    217,603.86x = 42,689,592,704.27
  5. Step 5: Solve for x
    x = 42,689,592,704.27/217,603.86
  6. Step 6: Final answer
    x = 196,180.31

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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.