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Finding the Fourth Proportional to 201,270.48, 302,041.80 and 76,608.24

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Solution

The fourth proportional to 201,270.48, 302,041.80 and 76,608.24 is: 114,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.48 : 302,041.80 = 76,608.24 : x
  2. Step 2: Convert to fraction form
    201,270.48/302,041.80 = 76,608.24/x
  3. Step 3: Cross multiply
    201,270.48x = 302,041.80 × 76,608.24
  4. Step 4: Simplify right side
    201,270.48x = 23,138,890,704.43
  5. Step 5: Solve for x
    x = 23,138,890,704.43/201,270.48
  6. Step 6: Final answer
    x = 114,964.16

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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.