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Finding the Fourth Proportional to 147,596.72, 203,749.44 and 99,994.64

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Solution

The fourth proportional to 147,596.72, 203,749.44 and 99,994.64 is: 138,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,596.72 : 203,749.44 = 99,994.64 : x
  2. Step 2: Convert to fraction form
    147,596.72/203,749.44 = 99,994.64/x
  3. Step 3: Cross multiply
    147,596.72x = 203,749.44 × 99,994.64
  4. Step 4: Simplify right side
    147,596.72x = 20,373,851,903.00
  5. Step 5: Solve for x
    x = 20,373,851,903.00/147,596.72
  6. Step 6: Final answer
    x = 138,037.29

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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.