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Finding the Fourth Proportional to 137,006.62, 205,368.96 and 65,822.38

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Solution

The fourth proportional to 137,006.62, 205,368.96 and 65,822.38 is: 98,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.62 : 205,368.96 = 65,822.38 : x
  2. Step 2: Convert to fraction form
    137,006.62/205,368.96 = 65,822.38/x
  3. Step 3: Cross multiply
    137,006.62x = 205,368.96 × 65,822.38
  4. Step 4: Simplify right side
    137,006.62x = 13,517,873,725.32
  5. Step 5: Solve for x
    x = 13,517,873,725.32/137,006.62
  6. Step 6: Final answer
    x = 98,665.84

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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.