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Finding the Fourth Proportional to 257,969.72, 355,987.94 and 143,254.28

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Solution

The fourth proportional to 257,969.72, 355,987.94 and 143,254.28 is: 197,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.72 : 355,987.94 = 143,254.28 : x
  2. Step 2: Convert to fraction form
    257,969.72/355,987.94 = 143,254.28/x
  3. Step 3: Cross multiply
    257,969.72x = 355,987.94 × 143,254.28
  4. Step 4: Simplify right side
    257,969.72x = 50,996,796,033.38
  5. Step 5: Solve for x
    x = 50,996,796,033.38/257,969.72
  6. Step 6: Final answer
    x = 197,685.20

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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.