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Finding the Fourth Proportional to 152,238.30, 228,163.05 and 117,003.30

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Solution

The fourth proportional to 152,238.30, 228,163.05 and 117,003.30 is: 175,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,238.30 : 228,163.05 = 117,003.30 : x
  2. Step 2: Convert to fraction form
    152,238.30/228,163.05 = 117,003.30/x
  3. Step 3: Cross multiply
    152,238.30x = 228,163.05 × 117,003.30
  4. Step 4: Simplify right side
    152,238.30x = 26,695,829,788.07
  5. Step 5: Solve for x
    x = 26,695,829,788.07/152,238.30
  6. Step 6: Final answer
    x = 175,355.54

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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.