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Finding the Fourth Proportional to 100,974.07, 151,461.10 and 27,102.07

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Solution

The fourth proportional to 100,974.07, 151,461.10 and 27,102.07 is: 40,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,974.07 : 151,461.10 = 27,102.07 : x
  2. Step 2: Convert to fraction form
    100,974.07/151,461.10 = 27,102.07/x
  3. Step 3: Cross multiply
    100,974.07x = 151,461.10 × 27,102.07
  4. Step 4: Simplify right side
    100,974.07x = 4,104,908,441.66
  5. Step 5: Solve for x
    x = 4,104,908,441.66/100,974.07
  6. Step 6: Final answer
    x = 40,653.10

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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.