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Finding the Fourth Proportional to 271,779.53, 374,995.32 and 164,347.34

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Solution

The fourth proportional to 271,779.53, 374,995.32 and 164,347.34 is: 226,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,779.53 : 374,995.32 = 164,347.34 : x
  2. Step 2: Convert to fraction form
    271,779.53/374,995.32 = 164,347.34/x
  3. Step 3: Cross multiply
    271,779.53x = 374,995.32 × 164,347.34
  4. Step 4: Simplify right side
    271,779.53x = 61,629,483,354.45
  5. Step 5: Solve for x
    x = 61,629,483,354.45/271,779.53
  6. Step 6: Final answer
    x = 226,762.79

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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.