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Finding the Fourth Proportional to 199,357.61, 298,697.90 and 120,305.72

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Solution

The fourth proportional to 199,357.61, 298,697.90 and 120,305.72 is: 180,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,357.61 : 298,697.90 = 120,305.72 : x
  2. Step 2: Convert to fraction form
    199,357.61/298,697.90 = 120,305.72/x
  3. Step 3: Cross multiply
    199,357.61x = 298,697.90 × 120,305.72
  4. Step 4: Simplify right side
    199,357.61x = 35,935,066,067.20
  5. Step 5: Solve for x
    x = 35,935,066,067.20/199,357.61
  6. Step 6: Final answer
    x = 180,254.30

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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.