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Finding the Fourth Proportional to 191,957.50, 264,884.74 and 123,977.44

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Solution

The fourth proportional to 191,957.50, 264,884.74 and 123,977.44 is: 171,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,957.50 : 264,884.74 = 123,977.44 : x
  2. Step 2: Convert to fraction form
    191,957.50/264,884.74 = 123,977.44/x
  3. Step 3: Cross multiply
    191,957.50x = 264,884.74 × 123,977.44
  4. Step 4: Simplify right side
    191,957.50x = 32,839,731,960.27
  5. Step 5: Solve for x
    x = 32,839,731,960.27/191,957.50
  6. Step 6: Final answer
    x = 171,078.14

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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.