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Finding the Fourth Proportional to 227,732.28, 341,369.81 and 77,870.08

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Solution

The fourth proportional to 227,732.28, 341,369.81 and 77,870.08 is: 116,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,732.28 : 341,369.81 = 77,870.08 : x
  2. Step 2: Convert to fraction form
    227,732.28/341,369.81 = 77,870.08/x
  3. Step 3: Cross multiply
    227,732.28x = 341,369.81 × 77,870.08
  4. Step 4: Simplify right side
    227,732.28x = 26,582,494,024.93
  5. Step 5: Solve for x
    x = 26,582,494,024.93/227,732.28
  6. Step 6: Final answer
    x = 116,726.95

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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.