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Finding the Fourth Proportional to 262,746, 362,598.12 and 143,514

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Solution

The fourth proportional to 262,746, 362,598.12 and 143,514 is: 198,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,746 : 362,598.12 = 143,514 : x
  2. Step 2: Convert to fraction form
    262,746/362,598.12 = 143,514/x
  3. Step 3: Cross multiply
    262,746x = 362,598.12 × 143,514
  4. Step 4: Simplify right side
    262,746x = 52,037,906,593.68
  5. Step 5: Solve for x
    x = 52,037,906,593.68/262,746
  6. Step 6: Final answer
    x = 198,054.04

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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.