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Finding the Fourth Proportional to 277,447.75, 382,879.20 and 156,594.13

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Solution

The fourth proportional to 277,447.75, 382,879.20 and 156,594.13 is: 216,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,447.75 : 382,879.20 = 156,594.13 : x
  2. Step 2: Convert to fraction form
    277,447.75/382,879.20 = 156,594.13/x
  3. Step 3: Cross multiply
    277,447.75x = 382,879.20 × 156,594.13
  4. Step 4: Simplify right side
    277,447.75x = 59,956,634,849.13
  5. Step 5: Solve for x
    x = 59,956,634,849.13/277,447.75
  6. Step 6: Final answer
    x = 216,100.64

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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.