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Finding the Fourth Proportional to 200,909.56, 277,252.26 and 114,867.64

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Solution

The fourth proportional to 200,909.56, 277,252.26 and 114,867.64 is: 158,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.56 : 277,252.26 = 114,867.64 : x
  2. Step 2: Convert to fraction form
    200,909.56/277,252.26 = 114,867.64/x
  3. Step 3: Cross multiply
    200,909.56x = 277,252.26 × 114,867.64
  4. Step 4: Simplify right side
    200,909.56x = 31,847,312,790.87
  5. Step 5: Solve for x
    x = 31,847,312,790.87/200,909.56
  6. Step 6: Final answer
    x = 158,515.67

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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.