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Finding the Fourth Proportional to 262,899.26, 362,801.14 and 142,040.52

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Solution

The fourth proportional to 262,899.26, 362,801.14 and 142,040.52 is: 196,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899.26 : 362,801.14 = 142,040.52 : x
  2. Step 2: Convert to fraction form
    262,899.26/362,801.14 = 142,040.52/x
  3. Step 3: Cross multiply
    262,899.26x = 362,801.14 × 142,040.52
  4. Step 4: Simplify right side
    262,899.26x = 51,532,462,582.19
  5. Step 5: Solve for x
    x = 51,532,462,582.19/262,899.26
  6. Step 6: Final answer
    x = 196,016.00

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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.