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Finding the Fourth Proportional to 101,606.22, 140,214.83 and 56,283.26

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Solution

The fourth proportional to 101,606.22, 140,214.83 and 56,283.26 is: 77,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,606.22 : 140,214.83 = 56,283.26 : x
  2. Step 2: Convert to fraction form
    101,606.22/140,214.83 = 56,283.26/x
  3. Step 3: Cross multiply
    101,606.22x = 140,214.83 × 56,283.26
  4. Step 4: Simplify right side
    101,606.22x = 7,891,747,066.85
  5. Step 5: Solve for x
    x = 7,891,747,066.85/101,606.22
  6. Step 6: Final answer
    x = 77,669.92

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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.