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Finding the Fourth Proportional to 97,223.70, 145,835.55 and 81,671.70

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Solution

The fourth proportional to 97,223.70, 145,835.55 and 81,671.70 is: 122,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.70 : 145,835.55 = 81,671.70 : x
  2. Step 2: Convert to fraction form
    97,223.70/145,835.55 = 81,671.70/x
  3. Step 3: Cross multiply
    97,223.70x = 145,835.55 × 81,671.70
  4. Step 4: Simplify right side
    97,223.70x = 11,910,637,288.94
  5. Step 5: Solve for x
    x = 11,910,637,288.94/97,223.70
  6. Step 6: Final answer
    x = 122,507.55

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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.