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Finding the Fourth Proportional to 132,542.24, 182,848.02 and 78,796.76

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Solution

The fourth proportional to 132,542.24, 182,848.02 and 78,796.76 is: 108,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,542.24 : 182,848.02 = 78,796.76 : x
  2. Step 2: Convert to fraction form
    132,542.24/182,848.02 = 78,796.76/x
  3. Step 3: Cross multiply
    132,542.24x = 182,848.02 × 78,796.76
  4. Step 4: Simplify right side
    132,542.24x = 14,407,831,548.42
  5. Step 5: Solve for x
    x = 14,407,831,548.42/132,542.24
  6. Step 6: Final answer
    x = 108,703.70

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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.