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Finding the Fourth Proportional to 302,272.74, 417,136.37 and 166,303.80

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Solution

The fourth proportional to 302,272.74, 417,136.37 and 166,303.80 is: 229,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,272.74 : 417,136.37 = 166,303.80 : x
  2. Step 2: Convert to fraction form
    302,272.74/417,136.37 = 166,303.80/x
  3. Step 3: Cross multiply
    302,272.74x = 417,136.37 × 166,303.80
  4. Step 4: Simplify right side
    302,272.74x = 69,371,362,617.69
  5. Step 5: Solve for x
    x = 69,371,362,617.69/302,272.74
  6. Step 6: Final answer
    x = 229,499.24

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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.