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Finding the Fourth Proportional to 253,446.96, 349,717.82 and 145,996

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Solution

The fourth proportional to 253,446.96, 349,717.82 and 145,996 is: 201,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,446.96 : 349,717.82 = 145,996 : x
  2. Step 2: Convert to fraction form
    253,446.96/349,717.82 = 145,996/x
  3. Step 3: Cross multiply
    253,446.96x = 349,717.82 × 145,996
  4. Step 4: Simplify right side
    253,446.96x = 51,057,402,848.72
  5. Step 5: Solve for x
    x = 51,057,402,848.72/253,446.96
  6. Step 6: Final answer
    x = 201,452.02

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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.