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Finding the Fourth Proportional to 133,036.60, 199,554.90 and 106,792.60

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Solution

The fourth proportional to 133,036.60, 199,554.90 and 106,792.60 is: 160,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,036.60 : 199,554.90 = 106,792.60 : x
  2. Step 2: Convert to fraction form
    133,036.60/199,554.90 = 106,792.60/x
  3. Step 3: Cross multiply
    133,036.60x = 199,554.90 × 106,792.60
  4. Step 4: Simplify right side
    133,036.60x = 21,310,986,613.74
  5. Step 5: Solve for x
    x = 21,310,986,613.74/133,036.60
  6. Step 6: Final answer
    x = 160,188.90

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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.