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Finding the Fourth Proportional to 302,237.72, 417,074.88 and 166,263.03

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Solution

The fourth proportional to 302,237.72, 417,074.88 and 166,263.03 is: 229,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,237.72 : 417,074.88 = 166,263.03 : x
  2. Step 2: Convert to fraction form
    302,237.72/417,074.88 = 166,263.03/x
  3. Step 3: Cross multiply
    302,237.72x = 417,074.88 × 166,263.03
  4. Step 4: Simplify right side
    302,237.72x = 69,344,133,285.69
  5. Step 5: Solve for x
    x = 69,344,133,285.69/302,237.72
  6. Step 6: Final answer
    x = 229,435.74

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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.