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Finding the Fourth Proportional to 200,105.16, 300,157.73 and 94,866.72

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Solution

The fourth proportional to 200,105.16, 300,157.73 and 94,866.72 is: 142,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,105.16 : 300,157.73 = 94,866.72 : x
  2. Step 2: Convert to fraction form
    200,105.16/300,157.73 = 94,866.72/x
  3. Step 3: Cross multiply
    200,105.16x = 300,157.73 × 94,866.72
  4. Step 4: Simplify right side
    200,105.16x = 28,474,979,327.75
  5. Step 5: Solve for x
    x = 28,474,979,327.75/200,105.16
  6. Step 6: Final answer
    x = 142,300.08

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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.