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Finding the Fourth Proportional to 191,072.52, 263,684.16 and 106,187.76

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Solution

The fourth proportional to 191,072.52, 263,684.16 and 106,187.76 is: 146,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,072.52 : 263,684.16 = 106,187.76 : x
  2. Step 2: Convert to fraction form
    191,072.52/263,684.16 = 106,187.76/x
  3. Step 3: Cross multiply
    191,072.52x = 263,684.16 × 106,187.76
  4. Step 4: Simplify right side
    191,072.52x = 28,000,030,297.88
  5. Step 5: Solve for x
    x = 28,000,030,297.88/191,072.52
  6. Step 6: Final answer
    x = 146,541.38

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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.