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Finding the Fourth Proportional to 299,148.86, 448,591.83 and 112,029.14

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Solution

The fourth proportional to 299,148.86, 448,591.83 and 112,029.14 is: 167,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148.86 : 448,591.83 = 112,029.14 : x
  2. Step 2: Convert to fraction form
    299,148.86/448,591.83 = 112,029.14/x
  3. Step 3: Cross multiply
    299,148.86x = 448,591.83 × 112,029.14
  4. Step 4: Simplify right side
    299,148.86x = 50,255,356,925.93
  5. Step 5: Solve for x
    x = 50,255,356,925.93/299,148.86
  6. Step 6: Final answer
    x = 167,994.48

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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.