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Finding the Fourth Proportional to 200,567.02, 300,534.08 and 74,033.14

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Solution

The fourth proportional to 200,567.02, 300,534.08 and 74,033.14 is: 110,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,567.02 : 300,534.08 = 74,033.14 : x
  2. Step 2: Convert to fraction form
    200,567.02/300,534.08 = 74,033.14/x
  3. Step 3: Cross multiply
    200,567.02x = 300,534.08 × 74,033.14
  4. Step 4: Simplify right side
    200,567.02x = 22,249,481,619.41
  5. Step 5: Solve for x
    x = 22,249,481,619.41/200,567.02
  6. Step 6: Final answer
    x = 110,932.90

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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.