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Finding the Fourth Proportional to 137,427.68, 189,611.52 and 83,714.24

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Solution

The fourth proportional to 137,427.68, 189,611.52 and 83,714.24 is: 115,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427.68 : 189,611.52 = 83,714.24 : x
  2. Step 2: Convert to fraction form
    137,427.68/189,611.52 = 83,714.24/x
  3. Step 3: Cross multiply
    137,427.68x = 189,611.52 × 83,714.24
  4. Step 4: Simplify right side
    137,427.68x = 15,873,184,292.04
  5. Step 5: Solve for x
    x = 15,873,184,292.04/137,427.68
  6. Step 6: Final answer
    x = 115,502.09

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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.