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Finding the Fourth Proportional to 262,762.28, 362,186.04 and 205,301.38

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Solution

The fourth proportional to 262,762.28, 362,186.04 and 205,301.38 is: 282,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,762.28 : 362,186.04 = 205,301.38 : x
  2. Step 2: Convert to fraction form
    262,762.28/362,186.04 = 205,301.38/x
  3. Step 3: Cross multiply
    262,762.28x = 362,186.04 × 205,301.38
  4. Step 4: Simplify right side
    262,762.28x = 74,357,292,782.33
  5. Step 5: Solve for x
    x = 74,357,292,782.33/262,762.28
  6. Step 6: Final answer
    x = 282,983.13

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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.