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Finding the Fourth Proportional to 269,807.64, 372,359.88 and 201,706.68

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Solution

The fourth proportional to 269,807.64, 372,359.88 and 201,706.68 is: 278,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,807.64 : 372,359.88 = 201,706.68 : x
  2. Step 2: Convert to fraction form
    269,807.64/372,359.88 = 201,706.68/x
  3. Step 3: Cross multiply
    269,807.64x = 372,359.88 × 201,706.68
  4. Step 4: Simplify right side
    269,807.64x = 75,107,475,160.00
  5. Step 5: Solve for x
    x = 75,107,475,160.00/269,807.64
  6. Step 6: Final answer
    x = 278,374.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.