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Finding the Fourth Proportional to 204,953, 282,835.14 and 110,745

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Solution

The fourth proportional to 204,953, 282,835.14 and 110,745 is: 152,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953 : 282,835.14 = 110,745 : x
  2. Step 2: Convert to fraction form
    204,953/282,835.14 = 110,745/x
  3. Step 3: Cross multiply
    204,953x = 282,835.14 × 110,745
  4. Step 4: Simplify right side
    204,953x = 31,322,577,579.30
  5. Step 5: Solve for x
    x = 31,322,577,579.30/204,953
  6. Step 6: Final answer
    x = 152,828.10

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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.