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Finding the Fourth Proportional to 162,182.40, 242,690.40 and 109,694.40

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Solution

The fourth proportional to 162,182.40, 242,690.40 and 109,694.40 is: 164,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,182.40 : 242,690.40 = 109,694.40 : x
  2. Step 2: Convert to fraction form
    162,182.40/242,690.40 = 109,694.40/x
  3. Step 3: Cross multiply
    162,182.40x = 242,690.40 × 109,694.40
  4. Step 4: Simplify right side
    162,182.40x = 26,621,777,813.76
  5. Step 5: Solve for x
    x = 26,621,777,813.76/162,182.40
  6. Step 6: Final answer
    x = 164,147.14

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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.