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Finding the Fourth Proportional to 151,704.98, 209,357.90 and 82,798.21

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Solution

The fourth proportional to 151,704.98, 209,357.90 and 82,798.21 is: 114,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,704.98 : 209,357.90 = 82,798.21 : x
  2. Step 2: Convert to fraction form
    151,704.98/209,357.90 = 82,798.21/x
  3. Step 3: Cross multiply
    151,704.98x = 209,357.90 × 82,798.21
  4. Step 4: Simplify right side
    151,704.98x = 17,334,457,908.58
  5. Step 5: Solve for x
    x = 17,334,457,908.58/151,704.98
  6. Step 6: Final answer
    x = 114,264.27

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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.