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Finding the Fourth Proportional to 302,829.57, 417,902.81 and 166,860.45

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Solution

The fourth proportional to 302,829.57, 417,902.81 and 166,860.45 is: 230,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,829.57 : 417,902.81 = 166,860.45 : x
  2. Step 2: Convert to fraction form
    302,829.57/417,902.81 = 166,860.45/x
  3. Step 3: Cross multiply
    302,829.57x = 417,902.81 × 166,860.45
  4. Step 4: Simplify right side
    302,829.57x = 69,731,450,098.56
  5. Step 5: Solve for x
    x = 69,731,450,098.56/302,829.57
  6. Step 6: Final answer
    x = 230,266.32

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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.