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Finding the Fourth Proportional to 132,099.84, 197,653.14 and 78,594.84

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Solution

The fourth proportional to 132,099.84, 197,653.14 and 78,594.84 is: 117,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,099.84 : 197,653.14 = 78,594.84 : x
  2. Step 2: Convert to fraction form
    132,099.84/197,653.14 = 78,594.84/x
  3. Step 3: Cross multiply
    132,099.84x = 197,653.14 × 78,594.84
  4. Step 4: Simplify right side
    132,099.84x = 15,534,516,913.80
  5. Step 5: Solve for x
    x = 15,534,516,913.80/132,099.84
  6. Step 6: Final answer
    x = 117,596.79

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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.