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Finding the Fourth Proportional to 101,306.44, 139,795.90 and 55,984

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Solution

The fourth proportional to 101,306.44, 139,795.90 and 55,984 is: 77,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.44 : 139,795.90 = 55,984 : x
  2. Step 2: Convert to fraction form
    101,306.44/139,795.90 = 55,984/x
  3. Step 3: Cross multiply
    101,306.44x = 139,795.90 × 55,984
  4. Step 4: Simplify right side
    101,306.44x = 7,826,333,665.60
  5. Step 5: Solve for x
    x = 7,826,333,665.60/101,306.44
  6. Step 6: Final answer
    x = 77,254.06

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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.