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Finding the Fourth Proportional to 133,537.60, 200,306.40 and 119,022.40

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Solution

The fourth proportional to 133,537.60, 200,306.40 and 119,022.40 is: 178,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.60 : 200,306.40 = 119,022.40 : x
  2. Step 2: Convert to fraction form
    133,537.60/200,306.40 = 119,022.40/x
  3. Step 3: Cross multiply
    133,537.60x = 200,306.40 × 119,022.40
  4. Step 4: Simplify right side
    133,537.60x = 23,840,948,463.36
  5. Step 5: Solve for x
    x = 23,840,948,463.36/133,537.60
  6. Step 6: Final answer
    x = 178,533.60

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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.