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Finding the Fourth Proportional to 77,467.68, 116,201.52 and 54,139.68

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Solution

The fourth proportional to 77,467.68, 116,201.52 and 54,139.68 is: 81,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,467.68 : 116,201.52 = 54,139.68 : x
  2. Step 2: Convert to fraction form
    77,467.68/116,201.52 = 54,139.68/x
  3. Step 3: Cross multiply
    77,467.68x = 116,201.52 × 54,139.68
  4. Step 4: Simplify right side
    77,467.68x = 6,291,113,108.31
  5. Step 5: Solve for x
    x = 6,291,113,108.31/77,467.68
  6. Step 6: Final answer
    x = 81,209.52

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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.