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Finding the Fourth Proportional to 132,578.93, 198,903.77 and 48,346.76

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Solution

The fourth proportional to 132,578.93, 198,903.77 and 48,346.76 is: 72,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578.93 : 198,903.77 = 48,346.76 : x
  2. Step 2: Convert to fraction form
    132,578.93/198,903.77 = 48,346.76/x
  3. Step 3: Cross multiply
    132,578.93x = 198,903.77 × 48,346.76
  4. Step 4: Simplify right side
    132,578.93x = 9,616,351,595.03
  5. Step 5: Solve for x
    x = 9,616,351,595.03/132,578.93
  6. Step 6: Final answer
    x = 72,533.03

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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.