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Finding the Fourth Proportional to 109,453.88, 151,038.78 and 61,697.09

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Solution

The fourth proportional to 109,453.88, 151,038.78 and 61,697.09 is: 85,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,453.88 : 151,038.78 = 61,697.09 : x
  2. Step 2: Convert to fraction form
    109,453.88/151,038.78 = 61,697.09/x
  3. Step 3: Cross multiply
    109,453.88x = 151,038.78 × 61,697.09
  4. Step 4: Simplify right side
    109,453.88x = 9,318,653,349.38
  5. Step 5: Solve for x
    x = 9,318,653,349.38/109,453.88
  6. Step 6: Final answer
    x = 85,137.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.