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Finding the Fourth Proportional to 102,321.30, 152,791.49 and 83,637.84

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Solution

The fourth proportional to 102,321.30, 152,791.49 and 83,637.84 is: 124,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,321.30 : 152,791.49 = 83,637.84 : x
  2. Step 2: Convert to fraction form
    102,321.30/152,791.49 = 83,637.84/x
  3. Step 3: Cross multiply
    102,321.30x = 152,791.49 × 83,637.84
  4. Step 4: Simplify right side
    102,321.30x = 12,779,150,193.98
  5. Step 5: Solve for x
    x = 12,779,150,193.98/102,321.30
  6. Step 6: Final answer
    x = 124,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.