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Finding the Fourth Proportional to 100,502.88, 138,688.56 and 55,788

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Solution

The fourth proportional to 100,502.88, 138,688.56 and 55,788 is: 76,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,502.88 : 138,688.56 = 55,788 : x
  2. Step 2: Convert to fraction form
    100,502.88/138,688.56 = 55,788/x
  3. Step 3: Cross multiply
    100,502.88x = 138,688.56 × 55,788
  4. Step 4: Simplify right side
    100,502.88x = 7,737,157,385.28
  5. Step 5: Solve for x
    x = 7,737,157,385.28/100,502.88
  6. Step 6: Final answer
    x = 76,984.43

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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.