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Finding the Fourth Proportional to 255,435.47, 352,511.88 and 142,258.22

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Solution

The fourth proportional to 255,435.47, 352,511.88 and 142,258.22 is: 196,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,435.47 : 352,511.88 = 142,258.22 : x
  2. Step 2: Convert to fraction form
    255,435.47/352,511.88 = 142,258.22/x
  3. Step 3: Cross multiply
    255,435.47x = 352,511.88 × 142,258.22
  4. Step 4: Simplify right side
    255,435.47x = 50,147,712,577.65
  5. Step 5: Solve for x
    x = 50,147,712,577.65/255,435.47
  6. Step 6: Final answer
    x = 196,322.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.