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Finding the Fourth Proportional to 299,148.94, 448,384.20 and 121,433.32

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Solution

The fourth proportional to 299,148.94, 448,384.20 and 121,433.32 is: 182,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148.94 : 448,384.20 = 121,433.32 : x
  2. Step 2: Convert to fraction form
    299,148.94/448,384.20 = 121,433.32/x
  3. Step 3: Cross multiply
    299,148.94x = 448,384.20 × 121,433.32
  4. Step 4: Simplify right side
    299,148.94x = 54,448,782,041.54
  5. Step 5: Solve for x
    x = 54,448,782,041.54/299,148.94
  6. Step 6: Final answer
    x = 182,012.28

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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.