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Finding the Fourth Proportional to 255,460.64, 352,546.50 and 142,283.38

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Solution

The fourth proportional to 255,460.64, 352,546.50 and 142,283.38 is: 196,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,460.64 : 352,546.50 = 142,283.38 : x
  2. Step 2: Convert to fraction form
    255,460.64/352,546.50 = 142,283.38/x
  3. Step 3: Cross multiply
    255,460.64x = 352,546.50 × 142,283.38
  4. Step 4: Simplify right side
    255,460.64x = 50,161,507,627.17
  5. Step 5: Solve for x
    x = 50,161,507,627.17/255,460.64
  6. Step 6: Final answer
    x = 196,357.09

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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.