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Finding the Fourth Proportional to 161,847.80, 242,714.10 and 73,143.80

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Solution

The fourth proportional to 161,847.80, 242,714.10 and 73,143.80 is: 109,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,847.80 : 242,714.10 = 73,143.80 : x
  2. Step 2: Convert to fraction form
    161,847.80/242,714.10 = 73,143.80/x
  3. Step 3: Cross multiply
    161,847.80x = 242,714.10 × 73,143.80
  4. Step 4: Simplify right side
    161,847.80x = 17,753,031,587.58
  5. Step 5: Solve for x
    x = 17,753,031,587.58/161,847.80
  6. Step 6: Final answer
    x = 109,689.67

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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.