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Finding the Fourth Proportional to 146,477, 202,159.84 and 92,767.02

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Solution

The fourth proportional to 146,477, 202,159.84 and 92,767.02 is: 128,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,477 : 202,159.84 = 92,767.02 : x
  2. Step 2: Convert to fraction form
    146,477/202,159.84 = 92,767.02/x
  3. Step 3: Cross multiply
    146,477x = 202,159.84 × 92,767.02
  4. Step 4: Simplify right side
    146,477x = 18,753,765,920.48
  5. Step 5: Solve for x
    x = 18,753,765,920.48/146,477
  6. Step 6: Final answer
    x = 128,032.15

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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.