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Finding the Fourth Proportional to 98,016.84, 146,969.64 and 89,657.64

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Solution

The fourth proportional to 98,016.84, 146,969.64 and 89,657.64 is: 134,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016.84 : 146,969.64 = 89,657.64 : x
  2. Step 2: Convert to fraction form
    98,016.84/146,969.64 = 89,657.64/x
  3. Step 3: Cross multiply
    98,016.84x = 146,969.64 × 89,657.64
  4. Step 4: Simplify right side
    98,016.84x = 13,176,951,074.05
  5. Step 5: Solve for x
    x = 13,176,951,074.05/98,016.84
  6. Step 6: Final answer
    x = 134,435.58

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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.