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Finding the Fourth Proportional to 133,647.60, 200,471.40 and 119,132.40

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Solution

The fourth proportional to 133,647.60, 200,471.40 and 119,132.40 is: 178,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647.60 : 200,471.40 = 119,132.40 : x
  2. Step 2: Convert to fraction form
    133,647.60/200,471.40 = 119,132.40/x
  3. Step 3: Cross multiply
    133,647.60x = 200,471.40 × 119,132.40
  4. Step 4: Simplify right side
    133,647.60x = 23,882,639,013.36
  5. Step 5: Solve for x
    x = 23,882,639,013.36/133,647.60
  6. Step 6: Final answer
    x = 178,698.60

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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.