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Finding the Fourth Proportional to 271,765.98, 375,071.66 and 164,336.78

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Solution

The fourth proportional to 271,765.98, 375,071.66 and 164,336.78 is: 226,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,765.98 : 375,071.66 = 164,336.78 : x
  2. Step 2: Convert to fraction form
    271,765.98/375,071.66 = 164,336.78/x
  3. Step 3: Cross multiply
    271,765.98x = 375,071.66 × 164,336.78
  4. Step 4: Simplify right side
    271,765.98x = 61,638,066,176.61
  5. Step 5: Solve for x
    x = 61,638,066,176.61/271,765.98
  6. Step 6: Final answer
    x = 226,805.67

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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.