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Finding the Fourth Proportional to 262,510.68, 362,265.84 and 147,791.28

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Solution

The fourth proportional to 262,510.68, 362,265.84 and 147,791.28 is: 203,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,510.68 : 362,265.84 = 147,791.28 : x
  2. Step 2: Convert to fraction form
    262,510.68/362,265.84 = 147,791.28/x
  3. Step 3: Cross multiply
    262,510.68x = 362,265.84 × 147,791.28
  4. Step 4: Simplify right side
    262,510.68x = 53,539,732,193.88
  5. Step 5: Solve for x
    x = 53,539,732,193.88/262,510.68
  6. Step 6: Final answer
    x = 203,952.59

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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.