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Finding the Fourth Proportional to 132,436.84, 198,785.82 and 97,277.80

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Solution

The fourth proportional to 132,436.84, 198,785.82 and 97,277.80 is: 146,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,436.84 : 198,785.82 = 97,277.80 : x
  2. Step 2: Convert to fraction form
    132,436.84/198,785.82 = 97,277.80/x
  3. Step 3: Cross multiply
    132,436.84x = 198,785.82 × 97,277.80
  4. Step 4: Simplify right side
    132,436.84x = 19,337,447,240.80
  5. Step 5: Solve for x
    x = 19,337,447,240.80/132,436.84
  6. Step 6: Final answer
    x = 146,012.60

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Why These Related Problems?

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