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Finding the Fourth Proportional to 200,585.82, 300,898.71 and 74,259.84

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Solution

The fourth proportional to 200,585.82, 300,898.71 and 74,259.84 is: 111,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,585.82 : 300,898.71 = 74,259.84 : x
  2. Step 2: Convert to fraction form
    200,585.82/300,898.71 = 74,259.84/x
  3. Step 3: Cross multiply
    200,585.82x = 300,898.71 × 74,259.84
  4. Step 4: Simplify right side
    200,585.82x = 22,344,690,060.81
  5. Step 5: Solve for x
    x = 22,344,690,060.81/200,585.82
  6. Step 6: Final answer
    x = 111,397.16

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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.