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Finding the Fourth Proportional to 106,552.92, 146,994.30 and 61,815

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Solution

The fourth proportional to 106,552.92, 146,994.30 and 61,815 is: 85,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552.92 : 146,994.30 = 61,815 : x
  2. Step 2: Convert to fraction form
    106,552.92/146,994.30 = 61,815/x
  3. Step 3: Cross multiply
    106,552.92x = 146,994.30 × 61,815
  4. Step 4: Simplify right side
    106,552.92x = 9,086,452,654.50
  5. Step 5: Solve for x
    x = 9,086,452,654.50/106,552.92
  6. Step 6: Final answer
    x = 85,276.43

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1.5x scale

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.