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Finding the Fourth Proportional to 137,410.93, 206,067.80 and 65,355.36

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Solution

The fourth proportional to 137,410.93, 206,067.80 and 65,355.36 is: 98,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.93 : 206,067.80 = 65,355.36 : x
  2. Step 2: Convert to fraction form
    137,410.93/206,067.80 = 65,355.36/x
  3. Step 3: Cross multiply
    137,410.93x = 206,067.80 × 65,355.36
  4. Step 4: Simplify right side
    137,410.93x = 13,467,634,276.42
  5. Step 5: Solve for x
    x = 13,467,634,276.42/137,410.93
  6. Step 6: Final answer
    x = 98,009.92

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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.