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Finding the Fourth Proportional to 277,081.86, 382,117.81 and 174,929.82

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Solution

The fourth proportional to 277,081.86, 382,117.81 and 174,929.82 is: 241,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,081.86 : 382,117.81 = 174,929.82 : x
  2. Step 2: Convert to fraction form
    277,081.86/382,117.81 = 174,929.82/x
  3. Step 3: Cross multiply
    277,081.86x = 382,117.81 × 174,929.82
  4. Step 4: Simplify right side
    277,081.86x = 66,843,799,722.09
  5. Step 5: Solve for x
    x = 66,843,799,722.09/277,081.86
  6. Step 6: Final answer
    x = 241,242.06

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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.