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Finding the Fourth Proportional to 201,874.76, 302,526.60 and 111,957.26

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Solution

The fourth proportional to 201,874.76, 302,526.60 and 111,957.26 is: 167,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.76 : 302,526.60 = 111,957.26 : x
  2. Step 2: Convert to fraction form
    201,874.76/302,526.60 = 111,957.26/x
  3. Step 3: Cross multiply
    201,874.76x = 302,526.60 × 111,957.26
  4. Step 4: Simplify right side
    201,874.76x = 33,870,049,213.12
  5. Step 5: Solve for x
    x = 33,870,049,213.12/201,874.76
  6. Step 6: Final answer
    x = 167,777.53

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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.