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Finding the Fourth Proportional to 257,583.71, 355,452.84 and 142,853.36

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Solution

The fourth proportional to 257,583.71, 355,452.84 and 142,853.36 is: 197,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,583.71 : 355,452.84 = 142,853.36 : x
  2. Step 2: Convert to fraction form
    257,583.71/355,452.84 = 142,853.36/x
  3. Step 3: Cross multiply
    257,583.71x = 355,452.84 × 142,853.36
  4. Step 4: Simplify right side
    257,583.71x = 50,777,632,515.54
  5. Step 5: Solve for x
    x = 50,777,632,515.54/257,583.71
  6. Step 6: Final answer
    x = 197,130.60

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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.