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Finding the Fourth Proportional to 162,822.21, 244,231.16 and 72,841.16

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Solution

The fourth proportional to 162,822.21, 244,231.16 and 72,841.16 is: 109,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,822.21 : 244,231.16 = 72,841.16 : x
  2. Step 2: Convert to fraction form
    162,822.21/244,231.16 = 72,841.16/x
  3. Step 3: Cross multiply
    162,822.21x = 244,231.16 × 72,841.16
  4. Step 4: Simplify right side
    162,822.21x = 17,790,079,417.18
  5. Step 5: Solve for x
    x = 17,790,079,417.18/162,822.21
  6. Step 6: Final answer
    x = 109,260.77

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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.