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Finding the Fourth Proportional to 132,141.94, 198,211.18 and 32,303

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Solution

The fourth proportional to 132,141.94, 198,211.18 and 32,303 is: 48,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,141.94 : 198,211.18 = 32,303 : x
  2. Step 2: Convert to fraction form
    132,141.94/198,211.18 = 32,303/x
  3. Step 3: Cross multiply
    132,141.94x = 198,211.18 × 32,303
  4. Step 4: Simplify right side
    132,141.94x = 6,402,815,747.54
  5. Step 5: Solve for x
    x = 6,402,815,747.54/132,141.94
  6. Step 6: Final answer
    x = 48,454.08

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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.