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Finding the Fourth Proportional to 255,843.56, 353,022.50 and 153,844.52

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Solution

The fourth proportional to 255,843.56, 353,022.50 and 153,844.52 is: 212,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,843.56 : 353,022.50 = 153,844.52 : x
  2. Step 2: Convert to fraction form
    255,843.56/353,022.50 = 153,844.52/x
  3. Step 3: Cross multiply
    255,843.56x = 353,022.50 × 153,844.52
  4. Step 4: Simplify right side
    255,843.56x = 54,310,575,681.20
  5. Step 5: Solve for x
    x = 54,310,575,681.20/255,843.56
  6. Step 6: Final answer
    x = 212,280.41

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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.