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Finding the Fourth Proportional to 202,171.70, 278,996.94 and 111,527.88

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Solution

The fourth proportional to 202,171.70, 278,996.94 and 111,527.88 is: 153,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.70 : 278,996.94 = 111,527.88 : x
  2. Step 2: Convert to fraction form
    202,171.70/278,996.94 = 111,527.88/x
  3. Step 3: Cross multiply
    202,171.70x = 278,996.94 × 111,527.88
  4. Step 4: Simplify right side
    202,171.70x = 31,115,937,244.69
  5. Step 5: Solve for x
    x = 31,115,937,244.69/202,171.70
  6. Step 6: Final answer
    x = 153,908.47

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1.5x scale

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.