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Finding the Fourth Proportional to 120,698.17, 181,012.02 and 45,764.26

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Solution

The fourth proportional to 120,698.17, 181,012.02 and 45,764.26 is: 68,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.17 : 181,012.02 = 45,764.26 : x
  2. Step 2: Convert to fraction form
    120,698.17/181,012.02 = 45,764.26/x
  3. Step 3: Cross multiply
    120,698.17x = 181,012.02 × 45,764.26
  4. Step 4: Simplify right side
    120,698.17x = 8,283,881,146.41
  5. Step 5: Solve for x
    x = 8,283,881,146.41/120,698.17
  6. Step 6: Final answer
    x = 68,633.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.