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Finding the Fourth Proportional to 254,329.20, 380,837.70 and 201,841.20

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Solution

The fourth proportional to 254,329.20, 380,837.70 and 201,841.20 is: 302,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,329.20 : 380,837.70 = 201,841.20 : x
  2. Step 2: Convert to fraction form
    254,329.20/380,837.70 = 201,841.20/x
  3. Step 3: Cross multiply
    254,329.20x = 380,837.70 × 201,841.20
  4. Step 4: Simplify right side
    254,329.20x = 76,868,738,373.24
  5. Step 5: Solve for x
    x = 76,868,738,373.24/254,329.20
  6. Step 6: Final answer
    x = 302,241.10

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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.