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Finding the Fourth Proportional to 122,110.20, 183,197.70 and 43,216.20

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Solution

The fourth proportional to 122,110.20, 183,197.70 and 43,216.20 is: 64,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,110.20 : 183,197.70 = 43,216.20 : x
  2. Step 2: Convert to fraction form
    122,110.20/183,197.70 = 43,216.20/x
  3. Step 3: Cross multiply
    122,110.20x = 183,197.70 × 43,216.20
  4. Step 4: Simplify right side
    122,110.20x = 7,917,108,442.74
  5. Step 5: Solve for x
    x = 7,917,108,442.74/122,110.20
  6. Step 6: Final answer
    x = 64,835.77

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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.