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Finding the Fourth Proportional to 198,189.52, 297,273.67 and 70,096.93

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Solution

The fourth proportional to 198,189.52, 297,273.67 and 70,096.93 is: 105,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,189.52 : 297,273.67 = 70,096.93 : x
  2. Step 2: Convert to fraction form
    198,189.52/297,273.67 = 70,096.93/x
  3. Step 3: Cross multiply
    198,189.52x = 297,273.67 × 70,096.93
  4. Step 4: Simplify right side
    198,189.52x = 20,837,971,636.83
  5. Step 5: Solve for x
    x = 20,837,971,636.83/198,189.52
  6. Step 6: Final answer
    x = 105,141.64

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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.