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Finding the Fourth Proportional to 228,314.92, 342,474.72 and 101,961.60

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Solution

The fourth proportional to 228,314.92, 342,474.72 and 101,961.60 is: 152,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,314.92 : 342,474.72 = 101,961.60 : x
  2. Step 2: Convert to fraction form
    228,314.92/342,474.72 = 101,961.60/x
  3. Step 3: Cross multiply
    228,314.92x = 342,474.72 × 101,961.60
  4. Step 4: Simplify right side
    228,314.92x = 34,919,270,410.75
  5. Step 5: Solve for x
    x = 34,919,270,410.75/228,314.92
  6. Step 6: Final answer
    x = 152,943.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.