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Finding the Fourth Proportional to 132,203.70, 198,232.65 and 53,228.70

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Solution

The fourth proportional to 132,203.70, 198,232.65 and 53,228.70 is: 79,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.70 : 198,232.65 = 53,228.70 : x
  2. Step 2: Convert to fraction form
    132,203.70/198,232.65 = 53,228.70/x
  3. Step 3: Cross multiply
    132,203.70x = 198,232.65 × 53,228.70
  4. Step 4: Simplify right side
    132,203.70x = 10,551,666,257.06
  5. Step 5: Solve for x
    x = 10,551,666,257.06/132,203.70
  6. Step 6: Final answer
    x = 79,813.70

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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.