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Finding the Fourth Proportional to 133,624.20, 200,436.30 and 71,416.20

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Solution

The fourth proportional to 133,624.20, 200,436.30 and 71,416.20 is: 107,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,624.20 : 200,436.30 = 71,416.20 : x
  2. Step 2: Convert to fraction form
    133,624.20/200,436.30 = 71,416.20/x
  3. Step 3: Cross multiply
    133,624.20x = 200,436.30 × 71,416.20
  4. Step 4: Simplify right side
    133,624.20x = 14,314,398,888.06
  5. Step 5: Solve for x
    x = 14,314,398,888.06/133,624.20
  6. Step 6: Final answer
    x = 107,124.30

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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.