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Finding the Fourth Proportional to 102,094.52, 153,149.06 and 27,214.27

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Solution

The fourth proportional to 102,094.52, 153,149.06 and 27,214.27 is: 40,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.52 : 153,149.06 = 27,214.27 : x
  2. Step 2: Convert to fraction form
    102,094.52/153,149.06 = 27,214.27/x
  3. Step 3: Cross multiply
    102,094.52x = 153,149.06 × 27,214.27
  4. Step 4: Simplify right side
    102,094.52x = 4,167,839,554.25
  5. Step 5: Solve for x
    x = 4,167,839,554.25/102,094.52
  6. Step 6: Final answer
    x = 40,823.34

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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.