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Finding the Fourth Proportional to 200,355.93, 300,464.69 and 58,162.64

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Solution

The fourth proportional to 200,355.93, 300,464.69 and 58,162.64 is: 87,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355.93 : 300,464.69 = 58,162.64 : x
  2. Step 2: Convert to fraction form
    200,355.93/300,464.69 = 58,162.64/x
  3. Step 3: Cross multiply
    200,355.93x = 300,464.69 × 58,162.64
  4. Step 4: Simplify right side
    200,355.93x = 17,475,817,804.05
  5. Step 5: Solve for x
    x = 17,475,817,804.05/200,355.93
  6. Step 6: Final answer
    x = 87,223.86

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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.