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Finding the Fourth Proportional to 146,207.93, 201,682.72 and 88,024.16

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Solution

The fourth proportional to 146,207.93, 201,682.72 and 88,024.16 is: 121,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,207.93 : 201,682.72 = 88,024.16 : x
  2. Step 2: Convert to fraction form
    146,207.93/201,682.72 = 88,024.16/x
  3. Step 3: Cross multiply
    146,207.93x = 201,682.72 × 88,024.16
  4. Step 4: Simplify right side
    146,207.93x = 17,752,950,786.04
  5. Step 5: Solve for x
    x = 17,752,950,786.04/146,207.93
  6. Step 6: Final answer
    x = 121,422.63

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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.