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Finding the Fourth Proportional to 310,148.78, 465,235.02 and 96,936.35

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Solution

The fourth proportional to 310,148.78, 465,235.02 and 96,936.35 is: 145,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,148.78 : 465,235.02 = 96,936.35 : x
  2. Step 2: Convert to fraction form
    310,148.78/465,235.02 = 96,936.35/x
  3. Step 3: Cross multiply
    310,148.78x = 465,235.02 × 96,936.35
  4. Step 4: Simplify right side
    310,148.78x = 45,098,182,404.80
  5. Step 5: Solve for x
    x = 45,098,182,404.80/310,148.78
  6. Step 6: Final answer
    x = 145,408.22

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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.