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Finding the Fourth Proportional to 277,750.06, 416,646.69 and 90,780.46

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Solution

The fourth proportional to 277,750.06, 416,646.69 and 90,780.46 is: 136,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,750.06 : 416,646.69 = 90,780.46 : x
  2. Step 2: Convert to fraction form
    277,750.06/416,646.69 = 90,780.46/x
  3. Step 3: Cross multiply
    277,750.06x = 416,646.69 × 90,780.46
  4. Step 4: Simplify right side
    277,750.06x = 37,823,378,175.68
  5. Step 5: Solve for x
    x = 37,823,378,175.68/277,750.06
  6. Step 6: Final answer
    x = 136,177.75

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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.