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Finding the Fourth Proportional to 152,334.70, 228,566.85 and 73,408.30

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Solution

The fourth proportional to 152,334.70, 228,566.85 and 73,408.30 is: 110,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,334.70 : 228,566.85 = 73,408.30 : x
  2. Step 2: Convert to fraction form
    152,334.70/228,566.85 = 73,408.30/x
  3. Step 3: Cross multiply
    152,334.70x = 228,566.85 × 73,408.30
  4. Step 4: Simplify right side
    152,334.70x = 16,778,703,894.86
  5. Step 5: Solve for x
    x = 16,778,703,894.86/152,334.70
  6. Step 6: Final answer
    x = 110,143.68

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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.