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Finding the Fourth Proportional to 237,760.98, 328,143.72 and 147,146.10

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Solution

The fourth proportional to 237,760.98, 328,143.72 and 147,146.10 is: 203,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,760.98 : 328,143.72 = 147,146.10 : x
  2. Step 2: Convert to fraction form
    237,760.98/328,143.72 = 147,146.10/x
  3. Step 3: Cross multiply
    237,760.98x = 328,143.72 × 147,146.10
  4. Step 4: Simplify right side
    237,760.98x = 48,285,068,637.49
  5. Step 5: Solve for x
    x = 48,285,068,637.49/237,760.98
  6. Step 6: Final answer
    x = 203,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.