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Finding the Fourth Proportional to 189,115.60, 283,327.80 and 153,864.40

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Solution

The fourth proportional to 189,115.60, 283,327.80 and 153,864.40 is: 230,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,115.60 : 283,327.80 = 153,864.40 : x
  2. Step 2: Convert to fraction form
    189,115.60/283,327.80 = 153,864.40/x
  3. Step 3: Cross multiply
    189,115.60x = 283,327.80 × 153,864.40
  4. Step 4: Simplify right side
    189,115.60x = 43,594,061,950.32
  5. Step 5: Solve for x
    x = 43,594,061,950.32/189,115.60
  6. Step 6: Final answer
    x = 230,515.42

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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.