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Finding the Fourth Proportional to 202,502.70, 303,389.55 and 160,658.10

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Solution

The fourth proportional to 202,502.70, 303,389.55 and 160,658.10 is: 240,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,502.70 : 303,389.55 = 160,658.10 : x
  2. Step 2: Convert to fraction form
    202,502.70/303,389.55 = 160,658.10/x
  3. Step 3: Cross multiply
    202,502.70x = 303,389.55 × 160,658.10
  4. Step 4: Simplify right side
    202,502.70x = 48,741,988,662.86
  5. Step 5: Solve for x
    x = 48,741,988,662.86/202,502.70
  6. Step 6: Final answer
    x = 240,697.97

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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.