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Finding the Fourth Proportional to 277,992.32, 416,701.98 and 109,444.28

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Solution

The fourth proportional to 277,992.32, 416,701.98 and 109,444.28 is: 164,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,992.32 : 416,701.98 = 109,444.28 : x
  2. Step 2: Convert to fraction form
    277,992.32/416,701.98 = 109,444.28/x
  3. Step 3: Cross multiply
    277,992.32x = 416,701.98 × 109,444.28
  4. Step 4: Simplify right side
    277,992.32x = 45,605,646,092.16
  5. Step 5: Solve for x
    x = 45,605,646,092.16/277,992.32
  6. Step 6: Final answer
    x = 164,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.