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Finding the Fourth Proportional to 200,463.58, 300,699.42 and 74,038.66

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Solution

The fourth proportional to 200,463.58, 300,699.42 and 74,038.66 is: 111,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,463.58 : 300,699.42 = 74,038.66 : x
  2. Step 2: Convert to fraction form
    200,463.58/300,699.42 = 74,038.66/x
  3. Step 3: Cross multiply
    200,463.58x = 300,699.42 × 74,038.66
  4. Step 4: Simplify right side
    200,463.58x = 22,263,382,119.58
  5. Step 5: Solve for x
    x = 22,263,382,119.58/200,463.58
  6. Step 6: Final answer
    x = 111,059.49

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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.