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Finding the Fourth Proportional to 152,487.20, 228,512.86 and 85,788

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Solution

The fourth proportional to 152,487.20, 228,512.86 and 85,788 is: 128,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,487.20 : 228,512.86 = 85,788 : x
  2. Step 2: Convert to fraction form
    152,487.20/228,512.86 = 85,788/x
  3. Step 3: Cross multiply
    152,487.20x = 228,512.86 × 85,788
  4. Step 4: Simplify right side
    152,487.20x = 19,603,661,233.68
  5. Step 5: Solve for x
    x = 19,603,661,233.68/152,487.20
  6. Step 6: Final answer
    x = 128,559.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.