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Finding the Fourth Proportional to 98,206.96, 135,526.52 and 55,766.40

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Solution

The fourth proportional to 98,206.96, 135,526.52 and 55,766.40 is: 76,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.96 : 135,526.52 = 55,766.40 : x
  2. Step 2: Convert to fraction form
    98,206.96/135,526.52 = 55,766.40/x
  3. Step 3: Cross multiply
    98,206.96x = 135,526.52 × 55,766.40
  4. Step 4: Simplify right side
    98,206.96x = 7,557,826,124.93
  5. Step 5: Solve for x
    x = 7,557,826,124.93/98,206.96
  6. Step 6: Final answer
    x = 76,958.15

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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.