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Finding the Fourth Proportional to 228,598.56, 342,772.84 and 181,516.10

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Solution

The fourth proportional to 228,598.56, 342,772.84 and 181,516.10 is: 272,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,598.56 : 342,772.84 = 181,516.10 : x
  2. Step 2: Convert to fraction form
    228,598.56/342,772.84 = 181,516.10/x
  3. Step 3: Cross multiply
    228,598.56x = 342,772.84 × 181,516.10
  4. Step 4: Simplify right side
    228,598.56x = 62,218,789,102.72
  5. Step 5: Solve for x
    x = 62,218,789,102.72/228,598.56
  6. Step 6: Final answer
    x = 272,174.90

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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.