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Finding the Fourth Proportional to 135,276.96, 202,948.80 and 41,782.64

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Solution

The fourth proportional to 135,276.96, 202,948.80 and 41,782.64 is: 62,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,276.96 : 202,948.80 = 41,782.64 : x
  2. Step 2: Convert to fraction form
    135,276.96/202,948.80 = 41,782.64/x
  3. Step 3: Cross multiply
    135,276.96x = 202,948.80 × 41,782.64
  4. Step 4: Simplify right side
    135,276.96x = 8,479,736,648.83
  5. Step 5: Solve for x
    x = 8,479,736,648.83/135,276.96
  6. Step 6: Final answer
    x = 62,684.26

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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.