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Finding the Fourth Proportional to 227,549.98, 341,767.91 and 185,461.17

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Solution

The fourth proportional to 227,549.98, 341,767.91 and 185,461.17 is: 278,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,549.98 : 341,767.91 = 185,461.17 : x
  2. Step 2: Convert to fraction form
    227,549.98/341,767.91 = 185,461.17/x
  3. Step 3: Cross multiply
    227,549.98x = 341,767.91 × 185,461.17
  4. Step 4: Simplify right side
    227,549.98x = 63,384,676,457.05
  5. Step 5: Solve for x
    x = 63,384,676,457.05/227,549.98
  6. Step 6: Final answer
    x = 278,552.77

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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.