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Finding the Fourth Proportional to 137,025.36, 189,125.50 and 83,299

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Solution

The fourth proportional to 137,025.36, 189,125.50 and 83,299 is: 114,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,025.36 : 189,125.50 = 83,299 : x
  2. Step 2: Convert to fraction form
    137,025.36/189,125.50 = 83,299/x
  3. Step 3: Cross multiply
    137,025.36x = 189,125.50 × 83,299
  4. Step 4: Simplify right side
    137,025.36x = 15,753,965,024.50
  5. Step 5: Solve for x
    x = 15,753,965,024.50/137,025.36
  6. Step 6: Final answer
    x = 114,971.16

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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.