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Finding the Fourth Proportional to 299,177.72, 448,649.94 and 112,087.16

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Solution

The fourth proportional to 299,177.72, 448,649.94 and 112,087.16 is: 168,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,177.72 : 448,649.94 = 112,087.16 : x
  2. Step 2: Convert to fraction form
    299,177.72/448,649.94 = 112,087.16/x
  3. Step 3: Cross multiply
    299,177.72x = 448,649.94 × 112,087.16
  4. Step 4: Simplify right side
    299,177.72x = 50,287,897,608.77
  5. Step 5: Solve for x
    x = 50,287,897,608.77/299,177.72
  6. Step 6: Final answer
    x = 168,087.04

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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.