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Finding the Fourth Proportional to 98,334.81, 147,398.94 and 53,948.43

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Solution

The fourth proportional to 98,334.81, 147,398.94 and 53,948.43 is: 80,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,334.81 : 147,398.94 = 53,948.43 : x
  2. Step 2: Convert to fraction form
    98,334.81/147,398.94 = 53,948.43/x
  3. Step 3: Cross multiply
    98,334.81x = 147,398.94 × 53,948.43
  4. Step 4: Simplify right side
    98,334.81x = 7,951,941,396.66
  5. Step 5: Solve for x
    x = 7,951,941,396.66/98,334.81
  6. Step 6: Final answer
    x = 80,865.99

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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.