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Finding the Fourth Proportional to 120,076.50, 180,058.17 and 70,170.96

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Solution

The fourth proportional to 120,076.50, 180,058.17 and 70,170.96 is: 105,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,076.50 : 180,058.17 = 70,170.96 : x
  2. Step 2: Convert to fraction form
    120,076.50/180,058.17 = 70,170.96/x
  3. Step 3: Cross multiply
    120,076.50x = 180,058.17 × 70,170.96
  4. Step 4: Simplify right side
    120,076.50x = 12,634,854,644.74
  5. Step 5: Solve for x
    x = 12,634,854,644.74/120,076.50
  6. Step 6: Final answer
    x = 105,223.38

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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.