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Finding the Fourth Proportional to 277,040.48, 415,522.92 and 99,521.96

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Solution

The fourth proportional to 277,040.48, 415,522.92 and 99,521.96 is: 149,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040.48 : 415,522.92 = 99,521.96 : x
  2. Step 2: Convert to fraction form
    277,040.48/415,522.92 = 99,521.96/x
  3. Step 3: Cross multiply
    277,040.48x = 415,522.92 × 99,521.96
  4. Step 4: Simplify right side
    277,040.48x = 41,353,655,423.32
  5. Step 5: Solve for x
    x = 41,353,655,423.32/277,040.48
  6. Step 6: Final answer
    x = 149,269.36

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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.