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Finding the Fourth Proportional to 162,844.40, 244,324.20 and 157,084.40

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Solution

The fourth proportional to 162,844.40, 244,324.20 and 157,084.40 is: 235,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,844.40 : 244,324.20 = 157,084.40 : x
  2. Step 2: Convert to fraction form
    162,844.40/244,324.20 = 157,084.40/x
  3. Step 3: Cross multiply
    162,844.40x = 244,324.20 × 157,084.40
  4. Step 4: Simplify right side
    162,844.40x = 38,379,520,362.48
  5. Step 5: Solve for x
    x = 38,379,520,362.48/162,844.40
  6. Step 6: Final answer
    x = 235,682.16

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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.