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Finding the Fourth Proportional to 202,620.11, 303,658.47 and 157,695.71

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Solution

The fourth proportional to 202,620.11, 303,658.47 and 157,695.71 is: 236,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,620.11 : 303,658.47 = 157,695.71 : x
  2. Step 2: Convert to fraction form
    202,620.11/303,658.47 = 157,695.71/x
  3. Step 3: Cross multiply
    202,620.11x = 303,658.47 × 157,695.71
  4. Step 4: Simplify right side
    202,620.11x = 47,885,636,505.87
  5. Step 5: Solve for x
    x = 47,885,636,505.87/202,620.11
  6. Step 6: Final answer
    x = 236,332.11

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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.