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Finding the Fourth Proportional to 199,056.40, 297,855.60 and 146,568.40

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Solution

The fourth proportional to 199,056.40, 297,855.60 and 146,568.40 is: 219,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056.40 : 297,855.60 = 146,568.40 : x
  2. Step 2: Convert to fraction form
    199,056.40/297,855.60 = 146,568.40/x
  3. Step 3: Cross multiply
    199,056.40x = 297,855.60 × 146,568.40
  4. Step 4: Simplify right side
    199,056.40x = 43,656,218,723.04
  5. Step 5: Solve for x
    x = 43,656,218,723.04/199,056.40
  6. Step 6: Final answer
    x = 219,315.83

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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.