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Finding the Fourth Proportional to 266,166.85, 398,918.01 and 133,085.17

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Solution

The fourth proportional to 266,166.85, 398,918.01 and 133,085.17 is: 199,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,166.85 : 398,918.01 = 133,085.17 : x
  2. Step 2: Convert to fraction form
    266,166.85/398,918.01 = 133,085.17/x
  3. Step 3: Cross multiply
    266,166.85x = 398,918.01 × 133,085.17
  4. Step 4: Simplify right side
    266,166.85x = 53,090,071,176.91
  5. Step 5: Solve for x
    x = 53,090,071,176.91/266,166.85
  6. Step 6: Final answer
    x = 199,461.62

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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.