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Finding the Fourth Proportional to 78,108.82, 117,138.99 and 28,182.44

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Solution

The fourth proportional to 78,108.82, 117,138.99 and 28,182.44 is: 42,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,108.82 : 117,138.99 = 28,182.44 : x
  2. Step 2: Convert to fraction form
    78,108.82/117,138.99 = 28,182.44/x
  3. Step 3: Cross multiply
    78,108.82x = 117,138.99 × 28,182.44
  4. Step 4: Simplify right side
    78,108.82x = 3,301,262,557.34
  5. Step 5: Solve for x
    x = 3,301,262,557.34/78,108.82
  6. Step 6: Final answer
    x = 42,264.91

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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.