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Finding the Fourth Proportional to 106,602.67, 159,649.08 and 61,487.26

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Solution

The fourth proportional to 106,602.67, 159,649.08 and 61,487.26 is: 92,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.67 : 159,649.08 = 61,487.26 : x
  2. Step 2: Convert to fraction form
    106,602.67/159,649.08 = 61,487.26/x
  3. Step 3: Cross multiply
    106,602.67x = 159,649.08 × 61,487.26
  4. Step 4: Simplify right side
    106,602.67x = 9,816,384,490.72
  5. Step 5: Solve for x
    x = 9,816,384,490.72/106,602.67
  6. Step 6: Final answer
    x = 92,083.85

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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.