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Finding the Fourth Proportional to 261,959.63, 361,504.76 and 148,782.38

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Solution

The fourth proportional to 261,959.63, 361,504.76 and 148,782.38 is: 205,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,959.63 : 361,504.76 = 148,782.38 : x
  2. Step 2: Convert to fraction form
    261,959.63/361,504.76 = 148,782.38/x
  3. Step 3: Cross multiply
    261,959.63x = 361,504.76 × 148,782.38
  4. Step 4: Simplify right side
    261,959.63x = 53,785,536,022.69
  5. Step 5: Solve for x
    x = 53,785,536,022.69/261,959.63
  6. Step 6: Final answer
    x = 205,319.95

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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.