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Finding the Fourth Proportional to 216,658.05, 299,063.26 and 148,899.32

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Solution

The fourth proportional to 216,658.05, 299,063.26 and 148,899.32 is: 205,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,658.05 : 299,063.26 = 148,899.32 : x
  2. Step 2: Convert to fraction form
    216,658.05/299,063.26 = 148,899.32/x
  3. Step 3: Cross multiply
    216,658.05x = 299,063.26 × 148,899.32
  4. Step 4: Simplify right side
    216,658.05x = 44,530,316,050.98
  5. Step 5: Solve for x
    x = 44,530,316,050.98/216,658.05
  6. Step 6: Final answer
    x = 205,532.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.