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Finding the Fourth Proportional to 102,337.90, 153,496.17 and 27,466.06

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Solution

The fourth proportional to 102,337.90, 153,496.17 and 27,466.06 is: 41,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,337.90 : 153,496.17 = 27,466.06 : x
  2. Step 2: Convert to fraction form
    102,337.90/153,496.17 = 27,466.06/x
  3. Step 3: Cross multiply
    102,337.90x = 153,496.17 × 27,466.06
  4. Step 4: Simplify right side
    102,337.90x = 4,215,935,014.99
  5. Step 5: Solve for x
    x = 4,215,935,014.99/102,337.90
  6. Step 6: Final answer
    x = 41,196.22

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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.