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Finding the Fourth Proportional to 152,605.59, 228,861.54 and 105,523.20

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Solution

The fourth proportional to 152,605.59, 228,861.54 and 105,523.20 is: 158,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605.59 : 228,861.54 = 105,523.20 : x
  2. Step 2: Convert to fraction form
    152,605.59/228,861.54 = 105,523.20/x
  3. Step 3: Cross multiply
    152,605.59x = 228,861.54 × 105,523.20
  4. Step 4: Simplify right side
    152,605.59x = 24,150,202,057.73
  5. Step 5: Solve for x
    x = 24,150,202,057.73/152,605.59
  6. Step 6: Final answer
    x = 158,252.41

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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.