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Finding the Fourth Proportional to 122,136.29, 183,291.01 and 55,584.98

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Solution

The fourth proportional to 122,136.29, 183,291.01 and 55,584.98 is: 83,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,136.29 : 183,291.01 = 55,584.98 : x
  2. Step 2: Convert to fraction form
    122,136.29/183,291.01 = 55,584.98/x
  3. Step 3: Cross multiply
    122,136.29x = 183,291.01 × 55,584.98
  4. Step 4: Simplify right side
    122,136.29x = 10,188,226,069.61
  5. Step 5: Solve for x
    x = 10,188,226,069.61/122,136.29
  6. Step 6: Final answer
    x = 83,416.86

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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.