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Finding the Fourth Proportional to 98,233.96, 147,378.12 and 39,111.12

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Solution

The fourth proportional to 98,233.96, 147,378.12 and 39,111.12 is: 58,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.96 : 147,378.12 = 39,111.12 : x
  2. Step 2: Convert to fraction form
    98,233.96/147,378.12 = 39,111.12/x
  3. Step 3: Cross multiply
    98,233.96x = 147,378.12 × 39,111.12
  4. Step 4: Simplify right side
    98,233.96x = 5,764,123,336.69
  5. Step 5: Solve for x
    x = 5,764,123,336.69/98,233.96
  6. Step 6: Final answer
    x = 58,677.50

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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.