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Finding the Fourth Proportional to 102,021.30, 152,882.55 and 91,491.30

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Solution

The fourth proportional to 102,021.30, 152,882.55 and 91,491.30 is: 137,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021.30 : 152,882.55 = 91,491.30 : x
  2. Step 2: Convert to fraction form
    102,021.30/152,882.55 = 91,491.30/x
  3. Step 3: Cross multiply
    102,021.30x = 152,882.55 × 91,491.30
  4. Step 4: Simplify right side
    102,021.30x = 13,987,423,246.82
  5. Step 5: Solve for x
    x = 13,987,423,246.82/102,021.30
  6. Step 6: Final answer
    x = 137,102.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.