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Finding the Fourth Proportional to 109,417.82, 163,912.48 and 97,516.49

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Solution

The fourth proportional to 109,417.82, 163,912.48 and 97,516.49 is: 146,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,417.82 : 163,912.48 = 97,516.49 : x
  2. Step 2: Convert to fraction form
    109,417.82/163,912.48 = 97,516.49/x
  3. Step 3: Cross multiply
    109,417.82x = 163,912.48 × 97,516.49
  4. Step 4: Simplify right side
    109,417.82x = 15,984,168,653.44
  5. Step 5: Solve for x
    x = 15,984,168,653.44/109,417.82
  6. Step 6: Final answer
    x = 146,083.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.