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Finding the Fourth Proportional to 132,304.78, 198,415.32 and 43,538.50

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Solution

The fourth proportional to 132,304.78, 198,415.32 and 43,538.50 is: 65,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304.78 : 198,415.32 = 43,538.50 : x
  2. Step 2: Convert to fraction form
    132,304.78/198,415.32 = 43,538.50/x
  3. Step 3: Cross multiply
    132,304.78x = 198,415.32 × 43,538.50
  4. Step 4: Simplify right side
    132,304.78x = 8,638,705,409.82
  5. Step 5: Solve for x
    x = 8,638,705,409.82/132,304.78
  6. Step 6: Final answer
    x = 65,293.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.