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Finding the Fourth Proportional to 277,967.12, 383,588.72 and 157,092.44

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Solution

The fourth proportional to 277,967.12, 383,588.72 and 157,092.44 is: 216,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,967.12 : 383,588.72 = 157,092.44 : x
  2. Step 2: Convert to fraction form
    277,967.12/383,588.72 = 157,092.44/x
  3. Step 3: Cross multiply
    277,967.12x = 383,588.72 × 157,092.44
  4. Step 4: Simplify right side
    277,967.12x = 60,258,887,981.28
  5. Step 5: Solve for x
    x = 60,258,887,981.28/277,967.12
  6. Step 6: Final answer
    x = 216,784.23

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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.