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Finding the Fourth Proportional to 138,107.98, 190,587.12 and 77,678.58

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Solution

The fourth proportional to 138,107.98, 190,587.12 and 77,678.58 is: 107,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,107.98 : 190,587.12 = 77,678.58 : x
  2. Step 2: Convert to fraction form
    138,107.98/190,587.12 = 77,678.58/x
  3. Step 3: Cross multiply
    138,107.98x = 190,587.12 × 77,678.58
  4. Step 4: Simplify right side
    138,107.98x = 14,804,536,847.89
  5. Step 5: Solve for x
    x = 14,804,536,847.89/138,107.98
  6. Step 6: Final answer
    x = 107,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.