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Finding the Fourth Proportional to 200,783.96, 300,980.08 and 95,574.68

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Solution

The fourth proportional to 200,783.96, 300,980.08 and 95,574.68 is: 143,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,783.96 : 300,980.08 = 95,574.68 : x
  2. Step 2: Convert to fraction form
    200,783.96/300,980.08 = 95,574.68/x
  3. Step 3: Cross multiply
    200,783.96x = 300,980.08 × 95,574.68
  4. Step 4: Simplify right side
    200,783.96x = 28,766,074,832.37
  5. Step 5: Solve for x
    x = 28,766,074,832.37/200,783.96
  6. Step 6: Final answer
    x = 143,268.79

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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.