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Finding the Fourth Proportional to 299,364.34, 448,657.70 and 121,664.56

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Solution

The fourth proportional to 299,364.34, 448,657.70 and 121,664.56 is: 182,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364.34 : 448,657.70 = 121,664.56 : x
  2. Step 2: Convert to fraction form
    299,364.34/448,657.70 = 121,664.56/x
  3. Step 3: Cross multiply
    299,364.34x = 448,657.70 × 121,664.56
  4. Step 4: Simplify right side
    299,364.34x = 54,585,741,661.11
  5. Step 5: Solve for x
    x = 54,585,741,661.11/299,364.34
  6. Step 6: Final answer
    x = 182,338.82

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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.