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Finding the Fourth Proportional to 100,984.51, 151,476.29 and 26,098.29

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Solution

The fourth proportional to 100,984.51, 151,476.29 and 26,098.29 is: 39,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,984.51 : 151,476.29 = 26,098.29 : x
  2. Step 2: Convert to fraction form
    100,984.51/151,476.29 = 26,098.29/x
  3. Step 3: Cross multiply
    100,984.51x = 151,476.29 × 26,098.29
  4. Step 4: Simplify right side
    100,984.51x = 3,953,272,144.54
  5. Step 5: Solve for x
    x = 3,953,272,144.54/100,984.51
  6. Step 6: Final answer
    x = 39,147.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.