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Finding the Fourth Proportional to 255,414.89, 352,472.53 and 148,047.20

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Solution

The fourth proportional to 255,414.89, 352,472.53 and 148,047.20 is: 204,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,414.89 : 352,472.53 = 148,047.20 : x
  2. Step 2: Convert to fraction form
    255,414.89/352,472.53 = 148,047.20/x
  3. Step 3: Cross multiply
    255,414.89x = 352,472.53 × 148,047.20
  4. Step 4: Simplify right side
    255,414.89x = 52,182,570,403.18
  5. Step 5: Solve for x
    x = 52,182,570,403.18/255,414.89
  6. Step 6: Final answer
    x = 204,305.12

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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.