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Finding the Fourth Proportional to 200,908.07, 301,507.73 and 74,566.29

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Solution

The fourth proportional to 200,908.07, 301,507.73 and 74,566.29 is: 111,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.07 : 301,507.73 = 74,566.29 : x
  2. Step 2: Convert to fraction form
    200,908.07/301,507.73 = 74,566.29/x
  3. Step 3: Cross multiply
    200,908.07x = 301,507.73 × 74,566.29
  4. Step 4: Simplify right side
    200,908.07x = 22,482,312,832.42
  5. Step 5: Solve for x
    x = 22,482,312,832.42/200,908.07
  6. Step 6: Final answer
    x = 111,903.48

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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.