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Finding the Fourth Proportional to 377,838.27, 566,658.99 and 178,105.64

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Solution

The fourth proportional to 377,838.27, 566,658.99 and 178,105.64 is: 267,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,838.27 : 566,658.99 = 178,105.64 : x
  2. Step 2: Convert to fraction form
    377,838.27/566,658.99 = 178,105.64/x
  3. Step 3: Cross multiply
    377,838.27x = 566,658.99 × 178,105.64
  4. Step 4: Simplify right side
    377,838.27x = 100,925,159,242.41
  5. Step 5: Solve for x
    x = 100,925,159,242.41/377,838.27
  6. Step 6: Final answer
    x = 267,112.06

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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.