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Finding the Fourth Proportional to 253,638.14, 349,941.26 and 146,193.66

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Solution

The fourth proportional to 253,638.14, 349,941.26 and 146,193.66 is: 201,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,638.14 : 349,941.26 = 146,193.66 : x
  2. Step 2: Convert to fraction form
    253,638.14/349,941.26 = 146,193.66/x
  3. Step 3: Cross multiply
    253,638.14x = 349,941.26 × 146,193.66
  4. Step 4: Simplify right side
    253,638.14x = 51,159,193,949.90
  5. Step 5: Solve for x
    x = 51,159,193,949.90/253,638.14
  6. Step 6: Final answer
    x = 201,701.51

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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.