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Finding the Fourth Proportional to 132,264.36, 182,496.42 and 78,567.48

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Solution

The fourth proportional to 132,264.36, 182,496.42 and 78,567.48 is: 108,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,264.36 : 182,496.42 = 78,567.48 : x
  2. Step 2: Convert to fraction form
    132,264.36/182,496.42 = 78,567.48/x
  3. Step 3: Cross multiply
    132,264.36x = 182,496.42 × 78,567.48
  4. Step 4: Simplify right side
    132,264.36x = 14,338,283,828.42
  5. Step 5: Solve for x
    x = 14,338,283,828.42/132,264.36
  6. Step 6: Final answer
    x = 108,406.25

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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.