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Finding the Fourth Proportional to 100,088.89, 138,044.66 and 64,282.23

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Solution

The fourth proportional to 100,088.89, 138,044.66 and 64,282.23 is: 88,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088.89 : 138,044.66 = 64,282.23 : x
  2. Step 2: Convert to fraction form
    100,088.89/138,044.66 = 64,282.23/x
  3. Step 3: Cross multiply
    100,088.89x = 138,044.66 × 64,282.23
  4. Step 4: Simplify right side
    100,088.89x = 8,873,818,651.23
  5. Step 5: Solve for x
    x = 8,873,818,651.23/100,088.89
  6. Step 6: Final answer
    x = 88,659.38

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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.