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Finding the Fourth Proportional to 270,133.94, 372,807.29 and 149,298.82

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Solution

The fourth proportional to 270,133.94, 372,807.29 and 149,298.82 is: 206,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,133.94 : 372,807.29 = 149,298.82 : x
  2. Step 2: Convert to fraction form
    270,133.94/372,807.29 = 149,298.82/x
  3. Step 3: Cross multiply
    270,133.94x = 372,807.29 × 149,298.82
  4. Step 4: Simplify right side
    270,133.94x = 55,659,685,873.87
  5. Step 5: Solve for x
    x = 55,659,685,873.87/270,133.94
  6. Step 6: Final answer
    x = 206,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.