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Finding the Fourth Proportional to 217,596.38, 300,284.08 and 127,015.16

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Solution

The fourth proportional to 217,596.38, 300,284.08 and 127,015.16 is: 175,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,596.38 : 300,284.08 = 127,015.16 : x
  2. Step 2: Convert to fraction form
    217,596.38/300,284.08 = 127,015.16/x
  3. Step 3: Cross multiply
    217,596.38x = 300,284.08 × 127,015.16
  4. Step 4: Simplify right side
    217,596.38x = 38,140,628,647.69
  5. Step 5: Solve for x
    x = 38,140,628,647.69/217,596.38
  6. Step 6: Final answer
    x = 175,281.54

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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.