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Finding the Fourth Proportional to 299,115.86, 448,576.72 and 99,382.61

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Solution

The fourth proportional to 299,115.86, 448,576.72 and 99,382.61 is: 149,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,115.86 : 448,576.72 = 99,382.61 : x
  2. Step 2: Convert to fraction form
    299,115.86/448,576.72 = 99,382.61/x
  3. Step 3: Cross multiply
    299,115.86x = 448,576.72 × 99,382.61
  4. Step 4: Simplify right side
    299,115.86x = 44,580,726,091.82
  5. Step 5: Solve for x
    x = 44,580,726,091.82/299,115.86
  6. Step 6: Final answer
    x = 149,041.67

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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.