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Finding the Fourth Proportional to 157,633.70, 236,472.15 and 52,441.70

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Solution

The fourth proportional to 157,633.70, 236,472.15 and 52,441.70 is: 78,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,633.70 : 236,472.15 = 52,441.70 : x
  2. Step 2: Convert to fraction form
    157,633.70/236,472.15 = 52,441.70/x
  3. Step 3: Cross multiply
    157,633.70x = 236,472.15 × 52,441.70
  4. Step 4: Simplify right side
    157,633.70x = 12,401,001,548.66
  5. Step 5: Solve for x
    x = 12,401,001,548.66/157,633.70
  6. Step 6: Final answer
    x = 78,669.74

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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.