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Finding the Fourth Proportional to 201,809.71, 278,497.38 and 116,975.98

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Solution

The fourth proportional to 201,809.71, 278,497.38 and 116,975.98 is: 161,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.71 : 278,497.38 = 116,975.98 : x
  2. Step 2: Convert to fraction form
    201,809.71/278,497.38 = 116,975.98/x
  3. Step 3: Cross multiply
    201,809.71x = 278,497.38 × 116,975.98
  4. Step 4: Simplify right side
    201,809.71x = 32,577,503,952.93
  5. Step 5: Solve for x
    x = 32,577,503,952.93/201,809.71
  6. Step 6: Final answer
    x = 161,426.84

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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.