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Finding the Fourth Proportional to 97,497.78, 146,262.14 and 41,338.14

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Solution

The fourth proportional to 97,497.78, 146,262.14 and 41,338.14 is: 62,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.78 : 146,262.14 = 41,338.14 : x
  2. Step 2: Convert to fraction form
    97,497.78/146,262.14 = 41,338.14/x
  3. Step 3: Cross multiply
    97,497.78x = 146,262.14 × 41,338.14
  4. Step 4: Simplify right side
    97,497.78x = 6,046,204,820.02
  5. Step 5: Solve for x
    x = 6,046,204,820.02/97,497.78
  6. Step 6: Final answer
    x = 62,013.77

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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.