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Finding the Fourth Proportional to 253,638.49, 349,941.48 and 146,193.61

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Solution

The fourth proportional to 253,638.49, 349,941.48 and 146,193.61 is: 201,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,638.49 : 349,941.48 = 146,193.61 : x
  2. Step 2: Convert to fraction form
    253,638.49/349,941.48 = 146,193.61/x
  3. Step 3: Cross multiply
    253,638.49x = 349,941.48 × 146,193.61
  4. Step 4: Simplify right side
    253,638.49x = 51,159,208,249.94
  5. Step 5: Solve for x
    x = 51,159,208,249.94/253,638.49
  6. Step 6: Final answer
    x = 201,701.28

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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.