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Finding the Fourth Proportional to 255,233.54, 352,299.75 and 147,829.94

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Solution

The fourth proportional to 255,233.54, 352,299.75 and 147,829.94 is: 204,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,233.54 : 352,299.75 = 147,829.94 : x
  2. Step 2: Convert to fraction form
    255,233.54/352,299.75 = 147,829.94/x
  3. Step 3: Cross multiply
    255,233.54x = 352,299.75 × 147,829.94
  4. Step 4: Simplify right side
    255,233.54x = 52,080,450,904.52
  5. Step 5: Solve for x
    x = 52,080,450,904.52/255,233.54
  6. Step 6: Final answer
    x = 204,050.18

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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.