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Finding the Fourth Proportional to 189,308.80, 283,963.20 and 56,209.60

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Solution

The fourth proportional to 189,308.80, 283,963.20 and 56,209.60 is: 84,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,308.80 : 283,963.20 = 56,209.60 : x
  2. Step 2: Convert to fraction form
    189,308.80/283,963.20 = 56,209.60/x
  3. Step 3: Cross multiply
    189,308.80x = 283,963.20 × 56,209.60
  4. Step 4: Simplify right side
    189,308.80x = 15,961,457,886.72
  5. Step 5: Solve for x
    x = 15,961,457,886.72/189,308.80
  6. Step 6: Final answer
    x = 84,314.40

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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.