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Finding the Fourth Proportional to 277,578.50, 416,383.34 and 135,545.00

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Solution

The fourth proportional to 277,578.50, 416,383.34 and 135,545.00 is: 203,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,578.50 : 416,383.34 = 135,545.00 : x
  2. Step 2: Convert to fraction form
    277,578.50/416,383.34 = 135,545.00/x
  3. Step 3: Cross multiply
    277,578.50x = 416,383.34 × 135,545.00
  4. Step 4: Simplify right side
    277,578.50x = 56,438,677,060.66
  5. Step 5: Solve for x
    x = 56,438,677,060.66/277,578.50
  6. Step 6: Final answer
    x = 203,325.11

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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.