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Finding the Fourth Proportional to 202,335.86, 303,518.64 and 58,235.78

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Solution

The fourth proportional to 202,335.86, 303,518.64 and 58,235.78 is: 87,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,335.86 : 303,518.64 = 58,235.78 : x
  2. Step 2: Convert to fraction form
    202,335.86/303,518.64 = 58,235.78/x
  3. Step 3: Cross multiply
    202,335.86x = 303,518.64 × 58,235.78
  4. Step 4: Simplify right side
    202,335.86x = 17,675,644,744.94
  5. Step 5: Solve for x
    x = 17,675,644,744.94/202,335.86
  6. Step 6: Final answer
    x = 87,357.94

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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.