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Finding the Fourth Proportional to 189,348.16, 283,973.52 and 56,196.88

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Solution

The fourth proportional to 189,348.16, 283,973.52 and 56,196.88 is: 84,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,348.16 : 283,973.52 = 56,196.88 : x
  2. Step 2: Convert to fraction form
    189,348.16/283,973.52 = 56,196.88/x
  3. Step 3: Cross multiply
    189,348.16x = 283,973.52 × 56,196.88
  4. Step 4: Simplify right side
    189,348.16x = 15,958,425,826.62
  5. Step 5: Solve for x
    x = 15,958,425,826.62/189,348.16
  6. Step 6: Final answer
    x = 84,280.86

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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.