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Finding the Fourth Proportional to 106,358.16, 146,671.92 and 69,994.56

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Solution

The fourth proportional to 106,358.16, 146,671.92 and 69,994.56 is: 96,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358.16 : 146,671.92 = 69,994.56 : x
  2. Step 2: Convert to fraction form
    106,358.16/146,671.92 = 69,994.56/x
  3. Step 3: Cross multiply
    106,358.16x = 146,671.92 × 69,994.56
  4. Step 4: Simplify right side
    106,358.16x = 10,266,236,504.76
  5. Step 5: Solve for x
    x = 10,266,236,504.76/106,358.16
  6. Step 6: Final answer
    x = 96,525.14

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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.