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Finding the Fourth Proportional to 202,044, 303,078.15 and 61,803.84

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Solution

The fourth proportional to 202,044, 303,078.15 and 61,803.84 is: 92,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044 : 303,078.15 = 61,803.84 : x
  2. Step 2: Convert to fraction form
    202,044/303,078.15 = 61,803.84/x
  3. Step 3: Cross multiply
    202,044x = 303,078.15 × 61,803.84
  4. Step 4: Simplify right side
    202,044x = 18,731,393,490.10
  5. Step 5: Solve for x
    x = 18,731,393,490.10/202,044
  6. Step 6: Final answer
    x = 92,709.48

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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.