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Finding the Fourth Proportional to 107,656.71, 148,734.80 and 82,252

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Solution

The fourth proportional to 107,656.71, 148,734.80 and 82,252 is: 113,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,656.71 : 148,734.80 = 82,252 : x
  2. Step 2: Convert to fraction form
    107,656.71/148,734.80 = 82,252/x
  3. Step 3: Cross multiply
    107,656.71x = 148,734.80 × 82,252
  4. Step 4: Simplify right side
    107,656.71x = 12,233,734,769.60
  5. Step 5: Solve for x
    x = 12,233,734,769.60/107,656.71
  6. Step 6: Final answer
    x = 113,636.53

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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.