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Finding the Fourth Proportional to 189,344.80, 284,017.20 and 56,245.60

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Solution

The fourth proportional to 189,344.80, 284,017.20 and 56,245.60 is: 84,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,344.80 : 284,017.20 = 56,245.60 : x
  2. Step 2: Convert to fraction form
    189,344.80/284,017.20 = 56,245.60/x
  3. Step 3: Cross multiply
    189,344.80x = 284,017.20 × 56,245.60
  4. Step 4: Simplify right side
    189,344.80x = 15,974,717,824.32
  5. Step 5: Solve for x
    x = 15,974,717,824.32/189,344.80
  6. Step 6: Final answer
    x = 84,368.40

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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.