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Finding the Fourth Proportional to 132,709.60, 198,578.40 and 97,717.60

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Solution

The fourth proportional to 132,709.60, 198,578.40 and 97,717.60 is: 146,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709.60 : 198,578.40 = 97,717.60 : x
  2. Step 2: Convert to fraction form
    132,709.60/198,578.40 = 97,717.60/x
  3. Step 3: Cross multiply
    132,709.60x = 198,578.40 × 97,717.60
  4. Step 4: Simplify right side
    132,709.60x = 19,404,604,659.84
  5. Step 5: Solve for x
    x = 19,404,604,659.84/132,709.60
  6. Step 6: Final answer
    x = 146,218.55

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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.