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Finding the Fourth Proportional to 81,415.10, 122,122.65 and 77,138.30

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Solution

The fourth proportional to 81,415.10, 122,122.65 and 77,138.30 is: 115,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,415.10 : 122,122.65 = 77,138.30 : x
  2. Step 2: Convert to fraction form
    81,415.10/122,122.65 = 77,138.30/x
  3. Step 3: Cross multiply
    81,415.10x = 122,122.65 × 77,138.30
  4. Step 4: Simplify right side
    81,415.10x = 9,420,333,612.50
  5. Step 5: Solve for x
    x = 9,420,333,612.50/81,415.10
  6. Step 6: Final answer
    x = 115,707.45

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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.