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Finding the Fourth Proportional to 310,498.21, 465,747.30 and 100,136.14

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Solution

The fourth proportional to 310,498.21, 465,747.30 and 100,136.14 is: 150,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,498.21 : 465,747.30 = 100,136.14 : x
  2. Step 2: Convert to fraction form
    310,498.21/465,747.30 = 100,136.14/x
  3. Step 3: Cross multiply
    310,498.21x = 465,747.30 × 100,136.14
  4. Step 4: Simplify right side
    310,498.21x = 46,638,136,837.42
  5. Step 5: Solve for x
    x = 46,638,136,837.42/310,498.21
  6. Step 6: Final answer
    x = 150,204.21

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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.