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Finding the Fourth Proportional to 274,165.34, 411,113.14 and 96,646.55

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Solution

The fourth proportional to 274,165.34, 411,113.14 and 96,646.55 is: 144,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,165.34 : 411,113.14 = 96,646.55 : x
  2. Step 2: Convert to fraction form
    274,165.34/411,113.14 = 96,646.55/x
  3. Step 3: Cross multiply
    274,165.34x = 411,113.14 × 96,646.55
  4. Step 4: Simplify right side
    274,165.34x = 39,732,667,426.83
  5. Step 5: Solve for x
    x = 39,732,667,426.83/274,165.34
  6. Step 6: Final answer
    x = 144,922.28

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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.