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Finding the Fourth Proportional to 202,153.86, 302,984.82 and 143,006.58

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Solution

The fourth proportional to 202,153.86, 302,984.82 and 143,006.58 is: 214,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,153.86 : 302,984.82 = 143,006.58 : x
  2. Step 2: Convert to fraction form
    202,153.86/302,984.82 = 143,006.58/x
  3. Step 3: Cross multiply
    202,153.86x = 302,984.82 × 143,006.58
  4. Step 4: Simplify right side
    202,153.86x = 43,328,822,900.12
  5. Step 5: Solve for x
    x = 43,328,822,900.12/202,153.86
  6. Step 6: Final answer
    x = 214,335.87

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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.