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Finding the Fourth Proportional to 138,024, 190,429.38 and 84,282.12

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Solution

The fourth proportional to 138,024, 190,429.38 and 84,282.12 is: 116,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 190,429.38 = 84,282.12 : x
  2. Step 2: Convert to fraction form
    138,024/190,429.38 = 84,282.12/x
  3. Step 3: Cross multiply
    138,024x = 190,429.38 × 84,282.12
  4. Step 4: Simplify right side
    138,024x = 16,049,791,856.69
  5. Step 5: Solve for x
    x = 16,049,791,856.69/138,024
  6. Step 6: Final answer
    x = 116,282.62

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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.