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Finding the Fourth Proportional to 103,507.98, 155,151.22 and 53,537.76

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Solution

The fourth proportional to 103,507.98, 155,151.22 and 53,537.76 is: 80,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,507.98 : 155,151.22 = 53,537.76 : x
  2. Step 2: Convert to fraction form
    103,507.98/155,151.22 = 53,537.76/x
  3. Step 3: Cross multiply
    103,507.98x = 155,151.22 × 53,537.76
  4. Step 4: Simplify right side
    103,507.98x = 8,306,448,780.07
  5. Step 5: Solve for x
    x = 8,306,448,780.07/103,507.98
  6. Step 6: Final answer
    x = 80,249.36

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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.