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Finding the Fourth Proportional to 277,663.13, 416,493.32 and 67,301.07

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Solution

The fourth proportional to 277,663.13, 416,493.32 and 67,301.07 is: 100,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.13 : 416,493.32 = 67,301.07 : x
  2. Step 2: Convert to fraction form
    277,663.13/416,493.32 = 67,301.07/x
  3. Step 3: Cross multiply
    277,663.13x = 416,493.32 × 67,301.07
  4. Step 4: Simplify right side
    277,663.13x = 28,030,446,252.11
  5. Step 5: Solve for x
    x = 28,030,446,252.11/277,663.13
  6. Step 6: Final answer
    x = 100,951.27

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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.