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Finding the Fourth Proportional to 255,508.16, 352,523.22 and 148,057.46

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Solution

The fourth proportional to 255,508.16, 352,523.22 and 148,057.46 is: 204,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,508.16 : 352,523.22 = 148,057.46 : x
  2. Step 2: Convert to fraction form
    255,508.16/352,523.22 = 148,057.46/x
  3. Step 3: Cross multiply
    255,508.16x = 352,523.22 × 148,057.46
  4. Step 4: Simplify right side
    255,508.16x = 52,193,692,544.22
  5. Step 5: Solve for x
    x = 52,193,692,544.22/255,508.16
  6. Step 6: Final answer
    x = 204,274.07

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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.