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Finding the Fourth Proportional to 165,643.40, 248,246.40 and 146,835.20

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Solution

The fourth proportional to 165,643.40, 248,246.40 and 146,835.20 is: 220,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.40 : 248,246.40 = 146,835.20 : x
  2. Step 2: Convert to fraction form
    165,643.40/248,246.40 = 146,835.20/x
  3. Step 3: Cross multiply
    165,643.40x = 248,246.40 × 146,835.20
  4. Step 4: Simplify right side
    165,643.40x = 36,451,309,793.28
  5. Step 5: Solve for x
    x = 36,451,309,793.28/165,643.40
  6. Step 6: Final answer
    x = 220,058.93

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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.