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Finding the Fourth Proportional to 202,012.11, 302,989.01 and 61,733.07

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Solution

The fourth proportional to 202,012.11, 302,989.01 and 61,733.07 is: 92,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.11 : 302,989.01 = 61,733.07 : x
  2. Step 2: Convert to fraction form
    202,012.11/302,989.01 = 61,733.07/x
  3. Step 3: Cross multiply
    202,012.11x = 302,989.01 × 61,733.07
  4. Step 4: Simplify right side
    202,012.11x = 18,704,441,454.90
  5. Step 5: Solve for x
    x = 18,704,441,454.90/202,012.11
  6. Step 6: Final answer
    x = 92,590.69

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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.