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Finding the Fourth Proportional to 137,377.32, 189,582.63 and 80,015.14

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Solution

The fourth proportional to 137,377.32, 189,582.63 and 80,015.14 is: 110,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,377.32 : 189,582.63 = 80,015.14 : x
  2. Step 2: Convert to fraction form
    137,377.32/189,582.63 = 80,015.14/x
  3. Step 3: Cross multiply
    137,377.32x = 189,582.63 × 80,015.14
  4. Step 4: Simplify right side
    137,377.32x = 15,169,480,617.94
  5. Step 5: Solve for x
    x = 15,169,480,617.94/137,377.32
  6. Step 6: Final answer
    x = 110,422.02

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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.