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Finding the Fourth Proportional to 274,308.01, 411,377.78 and 96,773.50

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Solution

The fourth proportional to 274,308.01, 411,377.78 and 96,773.50 is: 145,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,308.01 : 411,377.78 = 96,773.50 : x
  2. Step 2: Convert to fraction form
    274,308.01/411,377.78 = 96,773.50/x
  3. Step 3: Cross multiply
    274,308.01x = 411,377.78 × 96,773.50
  4. Step 4: Simplify right side
    274,308.01x = 39,810,465,933.05
  5. Step 5: Solve for x
    x = 39,810,465,933.05/274,308.01
  6. Step 6: Final answer
    x = 145,130.53

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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.