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Finding the Fourth Proportional to 277,092.48, 414,887.97 and 143,693.00

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Solution

The fourth proportional to 277,092.48, 414,887.97 and 143,693.00 is: 215,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,092.48 : 414,887.97 = 143,693.00 : x
  2. Step 2: Convert to fraction form
    277,092.48/414,887.97 = 143,693.00/x
  3. Step 3: Cross multiply
    277,092.48x = 414,887.97 × 143,693.00
  4. Step 4: Simplify right side
    277,092.48x = 59,616,494,998.77
  5. Step 5: Solve for x
    x = 59,616,494,998.77/277,092.48
  6. Step 6: Final answer
    x = 215,150.17

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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.