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Finding the Fourth Proportional to 189,770.64, 284,436.80 and 71,366.40

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Solution

The fourth proportional to 189,770.64, 284,436.80 and 71,366.40 is: 106,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770.64 : 284,436.80 = 71,366.40 : x
  2. Step 2: Convert to fraction form
    189,770.64/284,436.80 = 71,366.40/x
  3. Step 3: Cross multiply
    189,770.64x = 284,436.80 × 71,366.40
  4. Step 4: Simplify right side
    189,770.64x = 20,299,230,443.52
  5. Step 5: Solve for x
    x = 20,299,230,443.52/189,770.64
  6. Step 6: Final answer
    x = 106,967.18

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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.