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Finding the Fourth Proportional to 178,082.19, 266,699.23 and 103,044.19

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Solution

The fourth proportional to 178,082.19, 266,699.23 and 103,044.19 is: 154,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.19 : 266,699.23 = 103,044.19 : x
  2. Step 2: Convert to fraction form
    178,082.19/266,699.23 = 103,044.19/x
  3. Step 3: Cross multiply
    178,082.19x = 266,699.23 × 103,044.19
  4. Step 4: Simplify right side
    178,082.19x = 27,481,806,128.97
  5. Step 5: Solve for x
    x = 27,481,806,128.97/178,082.19
  6. Step 6: Final answer
    x = 154,320.91

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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.