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Finding the Fourth Proportional to 277,749.71, 383,302.46 and 156,896.09

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Solution

The fourth proportional to 277,749.71, 383,302.46 and 156,896.09 is: 216,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.71 : 383,302.46 = 156,896.09 : x
  2. Step 2: Convert to fraction form
    277,749.71/383,302.46 = 156,896.09/x
  3. Step 3: Cross multiply
    277,749.71x = 383,302.46 × 156,896.09
  4. Step 4: Simplify right side
    277,749.71x = 60,138,657,261.38
  5. Step 5: Solve for x
    x = 60,138,657,261.38/277,749.71
  6. Step 6: Final answer
    x = 216,521.04

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Why These Related Problems?

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