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Finding the Fourth Proportional to 133,631.40, 200,447.10 and 113,948.40

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Solution

The fourth proportional to 133,631.40, 200,447.10 and 113,948.40 is: 170,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,631.40 : 200,447.10 = 113,948.40 : x
  2. Step 2: Convert to fraction form
    133,631.40/200,447.10 = 113,948.40/x
  3. Step 3: Cross multiply
    133,631.40x = 200,447.10 × 113,948.40
  4. Step 4: Simplify right side
    133,631.40x = 22,840,626,329.64
  5. Step 5: Solve for x
    x = 22,840,626,329.64/133,631.40
  6. Step 6: Final answer
    x = 170,922.60

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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.