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Finding the Fourth Proportional to 154,776.99, 231,943.14 and 119,099.73

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Solution

The fourth proportional to 154,776.99, 231,943.14 and 119,099.73 is: 178,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,776.99 : 231,943.14 = 119,099.73 : x
  2. Step 2: Convert to fraction form
    154,776.99/231,943.14 = 119,099.73/x
  3. Step 3: Cross multiply
    154,776.99x = 231,943.14 × 119,099.73
  4. Step 4: Simplify right side
    154,776.99x = 27,624,365,349.35
  5. Step 5: Solve for x
    x = 27,624,365,349.35/154,776.99
  6. Step 6: Final answer
    x = 178,478.50

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1.5x scale

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.