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Finding the Fourth Proportional to 165,758.31, 248,811.39 and 146,903.58

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Solution

The fourth proportional to 165,758.31, 248,811.39 and 146,903.58 is: 220,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,758.31 : 248,811.39 = 146,903.58 : x
  2. Step 2: Convert to fraction form
    165,758.31/248,811.39 = 146,903.58/x
  3. Step 3: Cross multiply
    165,758.31x = 248,811.39 × 146,903.58
  4. Step 4: Simplify right side
    165,758.31x = 36,551,283,935.78
  5. Step 5: Solve for x
    x = 36,551,283,935.78/165,758.31
  6. Step 6: Final answer
    x = 220,509.51

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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.