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Finding the Fourth Proportional to 98,209.68, 135,530.28 and 55,769.16

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Solution

The fourth proportional to 98,209.68, 135,530.28 and 55,769.16 is: 76,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209.68 : 135,530.28 = 55,769.16 : x
  2. Step 2: Convert to fraction form
    98,209.68/135,530.28 = 55,769.16/x
  3. Step 3: Cross multiply
    98,209.68x = 135,530.28 × 55,769.16
  4. Step 4: Simplify right side
    98,209.68x = 7,558,409,870.16
  5. Step 5: Solve for x
    x = 7,558,409,870.16/98,209.68
  6. Step 6: Final answer
    x = 76,961.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.