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Finding the Fourth Proportional to 301,024.05, 415,431.83 and 166,888.05

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Solution

The fourth proportional to 301,024.05, 415,431.83 and 166,888.05 is: 230,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.05 : 415,431.83 = 166,888.05 : x
  2. Step 2: Convert to fraction form
    301,024.05/415,431.83 = 166,888.05/x
  3. Step 3: Cross multiply
    301,024.05x = 415,431.83 × 166,888.05
  4. Step 4: Simplify right side
    301,024.05x = 69,330,607,182.19
  5. Step 5: Solve for x
    x = 69,330,607,182.19/301,024.05
  6. Step 6: Final answer
    x = 230,315.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.