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Finding the Fourth Proportional to 277,184.48, 382,512.71 and 156,326.80

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Solution

The fourth proportional to 277,184.48, 382,512.71 and 156,326.80 is: 215,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184.48 : 382,512.71 = 156,326.80 : x
  2. Step 2: Convert to fraction form
    277,184.48/382,512.71 = 156,326.80/x
  3. Step 3: Cross multiply
    277,184.48x = 382,512.71 × 156,326.80
  4. Step 4: Simplify right side
    277,184.48x = 59,796,987,913.63
  5. Step 5: Solve for x
    x = 59,796,987,913.63/277,184.48
  6. Step 6: Final answer
    x = 215,729.93

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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.