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Finding the Fourth Proportional to 202,166.89, 302,619.30 and 148,918.91

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Solution

The fourth proportional to 202,166.89, 302,619.30 and 148,918.91 is: 222,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.89 : 302,619.30 = 148,918.91 : x
  2. Step 2: Convert to fraction form
    202,166.89/302,619.30 = 148,918.91/x
  3. Step 3: Cross multiply
    202,166.89x = 302,619.30 × 148,918.91
  4. Step 4: Simplify right side
    202,166.89x = 45,065,736,300.96
  5. Step 5: Solve for x
    x = 45,065,736,300.96/202,166.89
  6. Step 6: Final answer
    x = 222,913.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.