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Finding the Fourth Proportional to 99,412.92, 149,114.40 and 37,078.56

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Solution

The fourth proportional to 99,412.92, 149,114.40 and 37,078.56 is: 55,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,412.92 : 149,114.40 = 37,078.56 : x
  2. Step 2: Convert to fraction form
    99,412.92/149,114.40 = 37,078.56/x
  3. Step 3: Cross multiply
    99,412.92x = 149,114.40 × 37,078.56
  4. Step 4: Simplify right side
    99,412.92x = 5,528,947,227.26
  5. Step 5: Solve for x
    x = 5,528,947,227.26/99,412.92
  6. Step 6: Final answer
    x = 55,615.98

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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.