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Finding the Fourth Proportional to 106,206.98, 159,309 and 43,026.57

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Solution

The fourth proportional to 106,206.98, 159,309 and 43,026.57 is: 64,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.98 : 159,309 = 43,026.57 : x
  2. Step 2: Convert to fraction form
    106,206.98/159,309 = 43,026.57/x
  3. Step 3: Cross multiply
    106,206.98x = 159,309 × 43,026.57
  4. Step 4: Simplify right side
    106,206.98x = 6,854,519,840.13
  5. Step 5: Solve for x
    x = 6,854,519,840.13/106,206.98
  6. Step 6: Final answer
    x = 64,539.26

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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.