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Finding the Fourth Proportional to 255,431.47, 352,506.37 and 142,254.22

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Solution

The fourth proportional to 255,431.47, 352,506.37 and 142,254.22 is: 196,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,431.47 : 352,506.37 = 142,254.22 : x
  2. Step 2: Convert to fraction form
    255,431.47/352,506.37 = 142,254.22/x
  3. Step 3: Cross multiply
    255,431.47x = 352,506.37 × 142,254.22
  4. Step 4: Simplify right side
    255,431.47x = 50,145,517,998.11
  5. Step 5: Solve for x
    x = 50,145,517,998.11/255,431.47
  6. Step 6: Final answer
    x = 196,316.91

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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.