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Finding the Fourth Proportional to 137,023.36, 189,122.74 and 83,297

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Solution

The fourth proportional to 137,023.36, 189,122.74 and 83,297 is: 114,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023.36 : 189,122.74 = 83,297 : x
  2. Step 2: Convert to fraction form
    137,023.36/189,122.74 = 83,297/x
  3. Step 3: Cross multiply
    137,023.36x = 189,122.74 × 83,297
  4. Step 4: Simplify right side
    137,023.36x = 15,753,356,873.78
  5. Step 5: Solve for x
    x = 15,753,356,873.78/137,023.36
  6. Step 6: Final answer
    x = 114,968.40

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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.