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Finding the Fourth Proportional to 262,668.36, 362,499.97 and 146,399.92

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Solution

The fourth proportional to 262,668.36, 362,499.97 and 146,399.92 is: 202,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,668.36 : 362,499.97 = 146,399.92 : x
  2. Step 2: Convert to fraction form
    262,668.36/362,499.97 = 146,399.92/x
  3. Step 3: Cross multiply
    262,668.36x = 362,499.97 × 146,399.92
  4. Step 4: Simplify right side
    262,668.36x = 53,069,966,608.00
  5. Step 5: Solve for x
    x = 53,069,966,608.00/262,668.36
  6. Step 6: Final answer
    x = 202,041.72

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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.