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Finding the Fourth Proportional to 228,216.42, 314,832.61 and 147,669.92

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Solution

The fourth proportional to 228,216.42, 314,832.61 and 147,669.92 is: 203,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,216.42 : 314,832.61 = 147,669.92 : x
  2. Step 2: Convert to fraction form
    228,216.42/314,832.61 = 147,669.92/x
  3. Step 3: Cross multiply
    228,216.42x = 314,832.61 × 147,669.92
  4. Step 4: Simplify right side
    228,216.42x = 46,491,306,332.09
  5. Step 5: Solve for x
    x = 46,491,306,332.09/228,216.42
  6. Step 6: Final answer
    x = 203,715.87

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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.