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Finding the Fourth Proportional to 162,409.80, 243,614.70 and 106,422.60

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Solution

The fourth proportional to 162,409.80, 243,614.70 and 106,422.60 is: 159,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,409.80 : 243,614.70 = 106,422.60 : x
  2. Step 2: Convert to fraction form
    162,409.80/243,614.70 = 106,422.60/x
  3. Step 3: Cross multiply
    162,409.80x = 243,614.70 × 106,422.60
  4. Step 4: Simplify right side
    162,409.80x = 25,926,109,772.22
  5. Step 5: Solve for x
    x = 25,926,109,772.22/162,409.80
  6. Step 6: Final answer
    x = 159,633.90

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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.