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Finding the Fourth Proportional to 175,933.96, 264,266.48 and 142,238.03

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Solution

The fourth proportional to 175,933.96, 264,266.48 and 142,238.03 is: 213,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,933.96 : 264,266.48 = 142,238.03 : x
  2. Step 2: Convert to fraction form
    175,933.96/264,266.48 = 142,238.03/x
  3. Step 3: Cross multiply
    175,933.96x = 264,266.48 × 142,238.03
  4. Step 4: Simplify right side
    175,933.96x = 37,588,742,544.50
  5. Step 5: Solve for x
    x = 37,588,742,544.50/175,933.96
  6. Step 6: Final answer
    x = 213,652.57

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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.