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Finding the Fourth Proportional to 99,898.48, 149,856.36 and 40,738.24

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Solution

The fourth proportional to 99,898.48, 149,856.36 and 40,738.24 is: 61,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,898.48 : 149,856.36 = 40,738.24 : x
  2. Step 2: Convert to fraction form
    99,898.48/149,856.36 = 40,738.24/x
  3. Step 3: Cross multiply
    99,898.48x = 149,856.36 × 40,738.24
  4. Step 4: Simplify right side
    99,898.48x = 6,104,884,359.21
  5. Step 5: Solve for x
    x = 6,104,884,359.21/99,898.48
  6. Step 6: Final answer
    x = 61,110.88

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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.