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Finding the Fourth Proportional to 227,943.40, 341,915.10 and 101,583.40

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Solution

The fourth proportional to 227,943.40, 341,915.10 and 101,583.40 is: 152,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,943.40 : 341,915.10 = 101,583.40 : x
  2. Step 2: Convert to fraction form
    227,943.40/341,915.10 = 101,583.40/x
  3. Step 3: Cross multiply
    227,943.40x = 341,915.10 × 101,583.40
  4. Step 4: Simplify right side
    227,943.40x = 34,732,898,369.34
  5. Step 5: Solve for x
    x = 34,732,898,369.34/227,943.40
  6. Step 6: Final answer
    x = 152,375.10

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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.