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Finding the Fourth Proportional to 271,762.40, 375,066.71 and 164,333.20

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Solution

The fourth proportional to 271,762.40, 375,066.71 and 164,333.20 is: 226,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762.40 : 375,066.71 = 164,333.20 : x
  2. Step 2: Convert to fraction form
    271,762.40/375,066.71 = 164,333.20/x
  3. Step 3: Cross multiply
    271,762.40x = 375,066.71 × 164,333.20
  4. Step 4: Simplify right side
    271,762.40x = 61,635,911,319.27
  5. Step 5: Solve for x
    x = 61,635,911,319.27/271,762.40
  6. Step 6: Final answer
    x = 226,800.73

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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.