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Finding the Fourth Proportional to 147,118.56, 203,027.56 and 83,465.92

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Solution

The fourth proportional to 147,118.56, 203,027.56 and 83,465.92 is: 115,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,118.56 : 203,027.56 = 83,465.92 : x
  2. Step 2: Convert to fraction form
    147,118.56/203,027.56 = 83,465.92/x
  3. Step 3: Cross multiply
    147,118.56x = 203,027.56 × 83,465.92
  4. Step 4: Simplify right side
    147,118.56x = 16,945,882,080.76
  5. Step 5: Solve for x
    x = 16,945,882,080.76/147,118.56
  6. Step 6: Final answer
    x = 115,185.21

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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.