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Finding the Fourth Proportional to 302,189.94, 417,013.65 and 166,223.75

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Solution

The fourth proportional to 302,189.94, 417,013.65 and 166,223.75 is: 229,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,189.94 : 417,013.65 = 166,223.75 : x
  2. Step 2: Convert to fraction form
    302,189.94/417,013.65 = 166,223.75/x
  3. Step 3: Cross multiply
    302,189.94x = 417,013.65 × 166,223.75
  4. Step 4: Simplify right side
    302,189.94x = 69,317,570,619.12
  5. Step 5: Solve for x
    x = 69,317,570,619.12/302,189.94
  6. Step 6: Final answer
    x = 229,384.11

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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.