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Finding the Fourth Proportional to 176,086.40, 263,724.60 and 144,593.60

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Solution

The fourth proportional to 176,086.40, 263,724.60 and 144,593.60 is: 216,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,086.40 : 263,724.60 = 144,593.60 : x
  2. Step 2: Convert to fraction form
    176,086.40/263,724.60 = 144,593.60/x
  3. Step 3: Cross multiply
    176,086.40x = 263,724.60 × 144,593.60
  4. Step 4: Simplify right side
    176,086.40x = 38,132,889,322.56
  5. Step 5: Solve for x
    x = 38,132,889,322.56/176,086.40
  6. Step 6: Final answer
    x = 216,557.83

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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.