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Finding the Fourth Proportional to 116,502.84, 160,728.30 and 71,713.08

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Solution

The fourth proportional to 116,502.84, 160,728.30 and 71,713.08 is: 98,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,502.84 : 160,728.30 = 71,713.08 : x
  2. Step 2: Convert to fraction form
    116,502.84/160,728.30 = 71,713.08/x
  3. Step 3: Cross multiply
    116,502.84x = 160,728.30 × 71,713.08
  4. Step 4: Simplify right side
    116,502.84x = 11,526,321,436.16
  5. Step 5: Solve for x
    x = 11,526,321,436.16/116,502.84
  6. Step 6: Final answer
    x = 98,935.97

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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.