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Finding the Fourth Proportional to 302,039.54, 416,803.89 and 166,072.53

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Solution

The fourth proportional to 302,039.54, 416,803.89 and 166,072.53 is: 229,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,039.54 : 416,803.89 = 166,072.53 : x
  2. Step 2: Convert to fraction form
    302,039.54/416,803.89 = 166,072.53/x
  3. Step 3: Cross multiply
    302,039.54x = 416,803.89 × 166,072.53
  4. Step 4: Simplify right side
    302,039.54x = 69,219,676,526.14
  5. Step 5: Solve for x
    x = 69,219,676,526.14/302,039.54
  6. Step 6: Final answer
    x = 229,174.23

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Why These Related Problems?

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