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Finding the Fourth Proportional to 255,703.14, 352,871.97 and 142,533.06

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Solution

The fourth proportional to 255,703.14, 352,871.97 and 142,533.06 is: 196,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,703.14 : 352,871.97 = 142,533.06 : x
  2. Step 2: Convert to fraction form
    255,703.14/352,871.97 = 142,533.06/x
  3. Step 3: Cross multiply
    255,703.14x = 352,871.97 × 142,533.06
  4. Step 4: Simplify right side
    255,703.14x = 50,295,921,672.33
  5. Step 5: Solve for x
    x = 50,295,921,672.33/255,703.14
  6. Step 6: Final answer
    x = 196,696.54

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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.