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Finding the Fourth Proportional to 277,638.84, 416,357.82 and 100,098.18

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Solution

The fourth proportional to 277,638.84, 416,357.82 and 100,098.18 is: 150,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638.84 : 416,357.82 = 100,098.18 : x
  2. Step 2: Convert to fraction form
    277,638.84/416,357.82 = 100,098.18/x
  3. Step 3: Cross multiply
    277,638.84x = 416,357.82 × 100,098.18
  4. Step 4: Simplify right side
    277,638.84x = 41,676,660,010.77
  5. Step 5: Solve for x
    x = 41,676,660,010.77/277,638.84
  6. Step 6: Final answer
    x = 150,111.06

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