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Finding the Fourth Proportional to 122,408.66, 183,440.61 and 97,337.45

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Solution

The fourth proportional to 122,408.66, 183,440.61 and 97,337.45 is: 145,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,408.66 : 183,440.61 = 97,337.45 : x
  2. Step 2: Convert to fraction form
    122,408.66/183,440.61 = 97,337.45/x
  3. Step 3: Cross multiply
    122,408.66x = 183,440.61 × 97,337.45
  4. Step 4: Simplify right side
    122,408.66x = 17,855,640,286.64
  5. Step 5: Solve for x
    x = 17,855,640,286.64/122,408.66
  6. Step 6: Final answer
    x = 145,869.10

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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.