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Finding the Fourth Proportional to 189,511.80, 284,218.20 and 56,356.20

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Solution

The fourth proportional to 189,511.80, 284,218.20 and 56,356.20 is: 84,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,511.80 : 284,218.20 = 56,356.20 : x
  2. Step 2: Convert to fraction form
    189,511.80/284,218.20 = 56,356.20/x
  3. Step 3: Cross multiply
    189,511.80x = 284,218.20 × 56,356.20
  4. Step 4: Simplify right side
    189,511.80x = 16,017,457,722.84
  5. Step 5: Solve for x
    x = 16,017,457,722.84/189,511.80
  6. Step 6: Final answer
    x = 84,519.58

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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.