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Finding the Fourth Proportional to 299,141.58, 448,338.18 and 149,423.66

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Solution

The fourth proportional to 299,141.58, 448,338.18 and 149,423.66 is: 223,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,141.58 : 448,338.18 = 149,423.66 : x
  2. Step 2: Convert to fraction form
    299,141.58/448,338.18 = 149,423.66/x
  3. Step 3: Cross multiply
    299,141.58x = 448,338.18 × 149,423.66
  4. Step 4: Simplify right side
    299,141.58x = 66,992,329,531.65
  5. Step 5: Solve for x
    x = 66,992,329,531.65/299,141.58
  6. Step 6: Final answer
    x = 223,948.57

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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.