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Finding the Fourth Proportional to 157,400.70, 236,079.45 and 52,208.70

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Solution

The fourth proportional to 157,400.70, 236,079.45 and 52,208.70 is: 78,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,400.70 : 236,079.45 = 52,208.70 : x
  2. Step 2: Convert to fraction form
    157,400.70/236,079.45 = 52,208.70/x
  3. Step 3: Cross multiply
    157,400.70x = 236,079.45 × 52,208.70
  4. Step 4: Simplify right side
    157,400.70x = 12,325,401,181.22
  5. Step 5: Solve for x
    x = 12,325,401,181.22/157,400.70
  6. Step 6: Final answer
    x = 78,305.89

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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.