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Finding the Fourth Proportional to 150,675.66, 226,366.29 and 142,164.45

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Solution

The fourth proportional to 150,675.66, 226,366.29 and 142,164.45 is: 213,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,675.66 : 226,366.29 = 142,164.45 : x
  2. Step 2: Convert to fraction form
    150,675.66/226,366.29 = 142,164.45/x
  3. Step 3: Cross multiply
    150,675.66x = 226,366.29 × 142,164.45
  4. Step 4: Simplify right side
    150,675.66x = 32,181,239,116.39
  5. Step 5: Solve for x
    x = 32,181,239,116.39/150,675.66
  6. Step 6: Final answer
    x = 213,579.55

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