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Finding the Fourth Proportional to 162,409.40, 243,614.10 and 106,422.20

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Solution

The fourth proportional to 162,409.40, 243,614.10 and 106,422.20 is: 159,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,409.40 : 243,614.10 = 106,422.20 : x
  2. Step 2: Convert to fraction form
    162,409.40/243,614.10 = 106,422.20/x
  3. Step 3: Cross multiply
    162,409.40x = 243,614.10 × 106,422.20
  4. Step 4: Simplify right side
    162,409.40x = 25,925,948,473.02
  5. Step 5: Solve for x
    x = 25,925,948,473.02/162,409.40
  6. Step 6: Final answer
    x = 159,633.30

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1.5x scale

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.