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Finding the Fourth Proportional to 348,733.50, 523,105.11 and 99,415.50

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Solution

The fourth proportional to 348,733.50, 523,105.11 and 99,415.50 is: 149,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,733.50 : 523,105.11 = 99,415.50 : x
  2. Step 2: Convert to fraction form
    348,733.50/523,105.11 = 99,415.50/x
  3. Step 3: Cross multiply
    348,733.50x = 523,105.11 × 99,415.50
  4. Step 4: Simplify right side
    348,733.50x = 52,004,756,063.21
  5. Step 5: Solve for x
    x = 52,004,756,063.21/348,733.50
  6. Step 6: Final answer
    x = 149,124.64

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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.