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Finding the Fourth Proportional to 277,200.78, 382,532.67 and 156,342.30

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Solution

The fourth proportional to 277,200.78, 382,532.67 and 156,342.30 is: 215,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200.78 : 382,532.67 = 156,342.30 : x
  2. Step 2: Convert to fraction form
    277,200.78/382,532.67 = 156,342.30/x
  3. Step 3: Cross multiply
    277,200.78x = 382,532.67 × 156,342.30
  4. Step 4: Simplify right side
    277,200.78x = 59,806,037,452.94
  5. Step 5: Solve for x
    x = 59,806,037,452.94/277,200.78
  6. Step 6: Final answer
    x = 215,749.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.