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Finding the Fourth Proportional to 255,435.38, 352,511.76 and 142,258.13

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Solution

The fourth proportional to 255,435.38, 352,511.76 and 142,258.13 is: 196,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,435.38 : 352,511.76 = 142,258.13 : x
  2. Step 2: Convert to fraction form
    255,435.38/352,511.76 = 142,258.13/x
  3. Step 3: Cross multiply
    255,435.38x = 352,511.76 × 142,258.13
  4. Step 4: Simplify right side
    255,435.38x = 50,147,662,018.05
  5. Step 5: Solve for x
    x = 50,147,662,018.05/255,435.38
  6. Step 6: Final answer
    x = 196,322.31

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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.