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Finding the Fourth Proportional to 100,707.49, 138,967 and 55,385.56

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Solution

The fourth proportional to 100,707.49, 138,967 and 55,385.56 is: 76,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.49 : 138,967 = 55,385.56 : x
  2. Step 2: Convert to fraction form
    100,707.49/138,967 = 55,385.56/x
  3. Step 3: Cross multiply
    100,707.49x = 138,967 × 55,385.56
  4. Step 4: Simplify right side
    100,707.49x = 7,696,765,116.52
  5. Step 5: Solve for x
    x = 7,696,765,116.52/100,707.49
  6. Step 6: Final answer
    x = 76,426.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.