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Finding the Fourth Proportional to 152,500.96, 228,816.96 and 73,674.16

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Solution

The fourth proportional to 152,500.96, 228,816.96 and 73,674.16 is: 110,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,500.96 : 228,816.96 = 73,674.16 : x
  2. Step 2: Convert to fraction form
    152,500.96/228,816.96 = 73,674.16/x
  3. Step 3: Cross multiply
    152,500.96x = 228,816.96 × 73,674.16
  4. Step 4: Simplify right side
    152,500.96x = 16,857,897,321.75
  5. Step 5: Solve for x
    x = 16,857,897,321.75/152,500.96
  6. Step 6: Final answer
    x = 110,542.89

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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.