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Finding the Fourth Proportional to 262,464.80, 362,197.32 and 147,743.18

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Solution

The fourth proportional to 262,464.80, 362,197.32 and 147,743.18 is: 203,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,464.80 : 362,197.32 = 147,743.18 : x
  2. Step 2: Convert to fraction form
    262,464.80/362,197.32 = 147,743.18/x
  3. Step 3: Cross multiply
    262,464.80x = 362,197.32 × 147,743.18
  4. Step 4: Simplify right side
    262,464.80x = 53,512,182,033.29
  5. Step 5: Solve for x
    x = 53,512,182,033.29/262,464.80
  6. Step 6: Final answer
    x = 203,883.28

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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.