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Finding the Fourth Proportional to 262,764, 362,614.32 and 143,532

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Solution

The fourth proportional to 262,764, 362,614.32 and 143,532 is: 198,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,764 : 362,614.32 = 143,532 : x
  2. Step 2: Convert to fraction form
    262,764/362,614.32 = 143,532/x
  3. Step 3: Cross multiply
    262,764x = 362,614.32 × 143,532
  4. Step 4: Simplify right side
    262,764x = 52,046,758,578.24
  5. Step 5: Solve for x
    x = 52,046,758,578.24/262,764
  6. Step 6: Final answer
    x = 198,074.16

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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.