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Finding the Fourth Proportional to 138,364.24, 190,957 and 84,685

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Solution

The fourth proportional to 138,364.24, 190,957 and 84,685 is: 116,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.24 : 190,957 = 84,685 : x
  2. Step 2: Convert to fraction form
    138,364.24/190,957 = 84,685/x
  3. Step 3: Cross multiply
    138,364.24x = 190,957 × 84,685
  4. Step 4: Simplify right side
    138,364.24x = 16,171,193,545
  5. Step 5: Solve for x
    x = 16,171,193,545/138,364.24
  6. Step 6: Final answer
    x = 116,874.08

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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.