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Finding the Fourth Proportional to 107,408.38, 148,223.49 and 59,666.17

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Solution

The fourth proportional to 107,408.38, 148,223.49 and 59,666.17 is: 82,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,408.38 : 148,223.49 = 59,666.17 : x
  2. Step 2: Convert to fraction form
    107,408.38/148,223.49 = 59,666.17/x
  3. Step 3: Cross multiply
    107,408.38x = 148,223.49 × 59,666.17
  4. Step 4: Simplify right side
    107,408.38x = 8,843,927,952.33
  5. Step 5: Solve for x
    x = 8,843,927,952.33/107,408.38
  6. Step 6: Final answer
    x = 82,339.27

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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.