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Finding the Fourth Proportional to 142,453.76, 213,622.32 and 63,514

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Solution

The fourth proportional to 142,453.76, 213,622.32 and 63,514 is: 95,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,453.76 : 213,622.32 = 63,514 : x
  2. Step 2: Convert to fraction form
    142,453.76/213,622.32 = 63,514/x
  3. Step 3: Cross multiply
    142,453.76x = 213,622.32 × 63,514
  4. Step 4: Simplify right side
    142,453.76x = 13,568,008,032.48
  5. Step 5: Solve for x
    x = 13,568,008,032.48/142,453.76
  6. Step 6: Final answer
    x = 95,245.00

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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.