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Finding the Fourth Proportional to 259,524.78, 358,369.53 and 162,896.14

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Solution

The fourth proportional to 259,524.78, 358,369.53 and 162,896.14 is: 224,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,524.78 : 358,369.53 = 162,896.14 : x
  2. Step 2: Convert to fraction form
    259,524.78/358,369.53 = 162,896.14/x
  3. Step 3: Cross multiply
    259,524.78x = 358,369.53 × 162,896.14
  4. Step 4: Simplify right side
    259,524.78x = 58,377,013,130.61
  5. Step 5: Solve for x
    x = 58,377,013,130.61/259,524.78
  6. Step 6: Final answer
    x = 224,938.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.