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Finding the Fourth Proportional to 271,477.16, 374,640.48 and 148,968.68

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Solution

The fourth proportional to 271,477.16, 374,640.48 and 148,968.68 is: 205,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.16 : 374,640.48 = 148,968.68 : x
  2. Step 2: Convert to fraction form
    271,477.16/374,640.48 = 148,968.68/x
  3. Step 3: Cross multiply
    271,477.16x = 374,640.48 × 148,968.68
  4. Step 4: Simplify right side
    271,477.16x = 55,809,697,780.17
  5. Step 5: Solve for x
    x = 55,809,697,780.17/271,477.16
  6. Step 6: Final answer
    x = 205,577.88

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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.