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Finding the Fourth Proportional to 147,287, 203,256.06 and 80,219

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Solution

The fourth proportional to 147,287, 203,256.06 and 80,219 is: 110,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,287 : 203,256.06 = 80,219 : x
  2. Step 2: Convert to fraction form
    147,287/203,256.06 = 80,219/x
  3. Step 3: Cross multiply
    147,287x = 203,256.06 × 80,219
  4. Step 4: Simplify right side
    147,287x = 16,304,997,877.14
  5. Step 5: Solve for x
    x = 16,304,997,877.14/147,287
  6. Step 6: Final answer
    x = 110,702.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.