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Finding the Fourth Proportional to 122,138.80, 183,234.36 and 37,897.16

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Solution

The fourth proportional to 122,138.80, 183,234.36 and 37,897.16 is: 56,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138.80 : 183,234.36 = 37,897.16 : x
  2. Step 2: Convert to fraction form
    122,138.80/183,234.36 = 37,897.16/x
  3. Step 3: Cross multiply
    122,138.80x = 183,234.36 × 37,897.16
  4. Step 4: Simplify right side
    122,138.80x = 6,944,061,858.42
  5. Step 5: Solve for x
    x = 6,944,061,858.42/122,138.80
  6. Step 6: Final answer
    x = 56,853.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.