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Finding the Fourth Proportional to 271,835.51, 375,137.64 and 149,333.04

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Solution

The fourth proportional to 271,835.51, 375,137.64 and 149,333.04 is: 206,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,835.51 : 375,137.64 = 149,333.04 : x
  2. Step 2: Convert to fraction form
    271,835.51/375,137.64 = 149,333.04/x
  3. Step 3: Cross multiply
    271,835.51x = 375,137.64 × 149,333.04
  4. Step 4: Simplify right side
    271,835.51x = 56,020,444,199.63
  5. Step 5: Solve for x
    x = 56,020,444,199.63/271,835.51
  6. Step 6: Final answer
    x = 206,082.14

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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.