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Finding the Fourth Proportional to 227,821.40, 341,732.10 and 101,461.40

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Solution

The fourth proportional to 227,821.40, 341,732.10 and 101,461.40 is: 152,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821.40 : 341,732.10 = 101,461.40 : x
  2. Step 2: Convert to fraction form
    227,821.40/341,732.10 = 101,461.40/x
  3. Step 3: Cross multiply
    227,821.40x = 341,732.10 × 101,461.40
  4. Step 4: Simplify right side
    227,821.40x = 34,672,617,290.94
  5. Step 5: Solve for x
    x = 34,672,617,290.94/227,821.40
  6. Step 6: Final answer
    x = 152,192.10

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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.