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Finding the Fourth Proportional to 277,441.94, 382,871.21 and 156,588.32

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Solution

The fourth proportional to 277,441.94, 382,871.21 and 156,588.32 is: 216,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,441.94 : 382,871.21 = 156,588.32 : x
  2. Step 2: Convert to fraction form
    277,441.94/382,871.21 = 156,588.32/x
  3. Step 3: Cross multiply
    277,441.94x = 382,871.21 × 156,588.32
  4. Step 4: Simplify right side
    277,441.94x = 59,953,156,852.97
  5. Step 5: Solve for x
    x = 59,953,156,852.97/277,441.94
  6. Step 6: Final answer
    x = 216,092.63

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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.