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Finding the Fourth Proportional to 145,460.49, 200,736.72 and 81,797.73

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Solution

The fourth proportional to 145,460.49, 200,736.72 and 81,797.73 is: 112,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460.49 : 200,736.72 = 81,797.73 : x
  2. Step 2: Convert to fraction form
    145,460.49/200,736.72 = 81,797.73/x
  3. Step 3: Cross multiply
    145,460.49x = 200,736.72 × 81,797.73
  4. Step 4: Simplify right side
    145,460.49x = 16,419,808,023.65
  5. Step 5: Solve for x
    x = 16,419,808,023.65/145,460.49
  6. Step 6: Final answer
    x = 112,881.57

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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.