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Finding the Fourth Proportional to 274,477.39, 411,642.01 and 96,961.03

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Solution

The fourth proportional to 274,477.39, 411,642.01 and 96,961.03 is: 145,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,477.39 : 411,642.01 = 96,961.03 : x
  2. Step 2: Convert to fraction form
    274,477.39/411,642.01 = 96,961.03/x
  3. Step 3: Cross multiply
    274,477.39x = 411,642.01 × 96,961.03
  4. Step 4: Simplify right side
    274,477.39x = 39,913,233,280.87
  5. Step 5: Solve for x
    x = 39,913,233,280.87/274,477.39
  6. Step 6: Final answer
    x = 145,415.38

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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.