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Finding the Fourth Proportional to 201,882.51, 278,597.88 and 117,048.78

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Solution

The fourth proportional to 201,882.51, 278,597.88 and 117,048.78 is: 161,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.51 : 278,597.88 = 117,048.78 : x
  2. Step 2: Convert to fraction form
    201,882.51/278,597.88 = 117,048.78/x
  3. Step 3: Cross multiply
    201,882.51x = 278,597.88 × 117,048.78
  4. Step 4: Simplify right side
    201,882.51x = 32,609,541,964.59
  5. Step 5: Solve for x
    x = 32,609,541,964.59/201,882.51
  6. Step 6: Final answer
    x = 161,527.33

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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.