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Finding the Fourth Proportional to 191,463.60, 264,212.64 and 106,578.84

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Solution

The fourth proportional to 191,463.60, 264,212.64 and 106,578.84 is: 147,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,463.60 : 264,212.64 = 106,578.84 : x
  2. Step 2: Convert to fraction form
    191,463.60/264,212.64 = 106,578.84/x
  3. Step 3: Cross multiply
    191,463.60x = 264,212.64 × 106,578.84
  4. Step 4: Simplify right side
    191,463.60x = 28,159,476,684.54
  5. Step 5: Solve for x
    x = 28,159,476,684.54/191,463.60
  6. Step 6: Final answer
    x = 147,074.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.