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Finding the Fourth Proportional to 302,024.09, 416,784.75 and 166,057.85

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Solution

The fourth proportional to 302,024.09, 416,784.75 and 166,057.85 is: 229,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024.09 : 416,784.75 = 166,057.85 : x
  2. Step 2: Convert to fraction form
    302,024.09/416,784.75 = 166,057.85/x
  3. Step 3: Cross multiply
    302,024.09x = 416,784.75 × 166,057.85
  4. Step 4: Simplify right side
    302,024.09x = 69,210,379,497.79
  5. Step 5: Solve for x
    x = 69,210,379,497.79/302,024.09
  6. Step 6: Final answer
    x = 229,155.16

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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.