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Finding the Fourth Proportional to 122,106.65, 182,938.50 and 90,164.80

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Solution

The fourth proportional to 122,106.65, 182,938.50 and 90,164.80 is: 135,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,106.65 : 182,938.50 = 90,164.80 : x
  2. Step 2: Convert to fraction form
    122,106.65/182,938.50 = 90,164.80/x
  3. Step 3: Cross multiply
    122,106.65x = 182,938.50 × 90,164.80
  4. Step 4: Simplify right side
    122,106.65x = 16,494,612,807.45
  5. Step 5: Solve for x
    x = 16,494,612,807.45/122,106.65
  6. Step 6: Final answer
    x = 135,083.65

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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.