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Finding the Fourth Proportional to 264,885, 365,541.36 and 145,653

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Solution

The fourth proportional to 264,885, 365,541.36 and 145,653 is: 201,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,885 : 365,541.36 = 145,653 : x
  2. Step 2: Convert to fraction form
    264,885/365,541.36 = 145,653/x
  3. Step 3: Cross multiply
    264,885x = 365,541.36 × 145,653
  4. Step 4: Simplify right side
    264,885x = 53,242,195,708.08
  5. Step 5: Solve for x
    x = 53,242,195,708.08/264,885
  6. Step 6: Final answer
    x = 201,001.17

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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.