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Finding the Fourth Proportional to 200,374.97, 300,541.42 and 105,567.00

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Solution

The fourth proportional to 200,374.97, 300,541.42 and 105,567.00 is: 158,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,374.97 : 300,541.42 = 105,567.00 : x
  2. Step 2: Convert to fraction form
    200,374.97/300,541.42 = 105,567.00/x
  3. Step 3: Cross multiply
    200,374.97x = 300,541.42 × 105,567.00
  4. Step 4: Simplify right side
    200,374.97x = 31,727,255,090.07
  5. Step 5: Solve for x
    x = 31,727,255,090.07/200,374.97
  6. Step 6: Final answer
    x = 158,339.42

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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.