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Finding the Fourth Proportional to 147,474.63, 203,532.27 and 83,822.00

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Solution

The fourth proportional to 147,474.63, 203,532.27 and 83,822.00 is: 115,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474.63 : 203,532.27 = 83,822.00 : x
  2. Step 2: Convert to fraction form
    147,474.63/203,532.27 = 83,822.00/x
  3. Step 3: Cross multiply
    147,474.63x = 203,532.27 × 83,822.00
  4. Step 4: Simplify right side
    147,474.63x = 17,060,481,995.86
  5. Step 5: Solve for x
    x = 17,060,481,995.86/147,474.63
  6. Step 6: Final answer
    x = 115,684.18

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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.