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Finding the Fourth Proportional to 299,142.94, 448,582.92 and 112,023.22

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Solution

The fourth proportional to 299,142.94, 448,582.92 and 112,023.22 is: 167,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,142.94 : 448,582.92 = 112,023.22 : x
  2. Step 2: Convert to fraction form
    299,142.94/448,582.92 = 112,023.22/x
  3. Step 3: Cross multiply
    299,142.94x = 448,582.92 × 112,023.22
  4. Step 4: Simplify right side
    299,142.94x = 50,251,703,135.40
  5. Step 5: Solve for x
    x = 50,251,703,135.40/299,142.94
  6. Step 6: Final answer
    x = 167,985.59

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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.