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Finding the Fourth Proportional to 217,597.38, 300,285.46 and 127,016.16

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Solution

The fourth proportional to 217,597.38, 300,285.46 and 127,016.16 is: 175,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,597.38 : 300,285.46 = 127,016.16 : x
  2. Step 2: Convert to fraction form
    217,597.38/300,285.46 = 127,016.16/x
  3. Step 3: Cross multiply
    217,597.38x = 300,285.46 × 127,016.16
  4. Step 4: Simplify right side
    217,597.38x = 38,141,106,033.03
  5. Step 5: Solve for x
    x = 38,141,106,033.03/217,597.38
  6. Step 6: Final answer
    x = 175,282.93

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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.