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Finding the Fourth Proportional to 277,681.53, 416,436.03 and 100,165.47

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Solution

The fourth proportional to 277,681.53, 416,436.03 and 100,165.47 is: 150,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,681.53 : 416,436.03 = 100,165.47 : x
  2. Step 2: Convert to fraction form
    277,681.53/416,436.03 = 100,165.47/x
  3. Step 3: Cross multiply
    277,681.53x = 416,436.03 × 100,165.47
  4. Step 4: Simplify right side
    277,681.53x = 41,712,510,669.88
  5. Step 5: Solve for x
    x = 41,712,510,669.88/277,681.53
  6. Step 6: Final answer
    x = 150,217.09

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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.