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Finding the Fourth Proportional to 146,662, 202,446.04 and 87,046

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Solution

The fourth proportional to 146,662, 202,446.04 and 87,046 is: 120,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,662 : 202,446.04 = 87,046 : x
  2. Step 2: Convert to fraction form
    146,662/202,446.04 = 87,046/x
  3. Step 3: Cross multiply
    146,662x = 202,446.04 × 87,046
  4. Step 4: Simplify right side
    146,662x = 17,622,117,997.84
  5. Step 5: Solve for x
    x = 17,622,117,997.84/146,662
  6. Step 6: Final answer
    x = 120,154.63

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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.