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Finding the Fourth Proportional to 277,156.45, 415,865.90 and 158,927.77

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Solution

The fourth proportional to 277,156.45, 415,865.90 and 158,927.77 is: 238,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,156.45 : 415,865.90 = 158,927.77 : x
  2. Step 2: Convert to fraction form
    277,156.45/415,865.90 = 158,927.77/x
  3. Step 3: Cross multiply
    277,156.45x = 415,865.90 × 158,927.77
  4. Step 4: Simplify right side
    277,156.45x = 66,092,640,106.04
  5. Step 5: Solve for x
    x = 66,092,640,106.04/277,156.45
  6. Step 6: Final answer
    x = 238,466.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.