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Finding the Fourth Proportional to 213,508.14, 320,060.25 and 95,114.22

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Solution

The fourth proportional to 213,508.14, 320,060.25 and 95,114.22 is: 142,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,508.14 : 320,060.25 = 95,114.22 : x
  2. Step 2: Convert to fraction form
    213,508.14/320,060.25 = 95,114.22/x
  3. Step 3: Cross multiply
    213,508.14x = 320,060.25 × 95,114.22
  4. Step 4: Simplify right side
    213,508.14x = 30,442,281,031.76
  5. Step 5: Solve for x
    x = 30,442,281,031.76/213,508.14
  6. Step 6: Final answer
    x = 142,581.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.