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Finding the Fourth Proportional to 177,741.60, 266,727.60 and 102,861.60

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Solution

The fourth proportional to 177,741.60, 266,727.60 and 102,861.60 is: 154,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,741.60 : 266,727.60 = 102,861.60 : x
  2. Step 2: Convert to fraction form
    177,741.60/266,727.60 = 102,861.60/x
  3. Step 3: Cross multiply
    177,741.60x = 266,727.60 × 102,861.60
  4. Step 4: Simplify right side
    177,741.60x = 27,436,027,700.16
  5. Step 5: Solve for x
    x = 27,436,027,700.16/177,741.60
  6. Step 6: Final answer
    x = 154,359.07

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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.