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Finding the Fourth Proportional to 201,959.38, 302,938.16 and 52,186.94

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Solution

The fourth proportional to 201,959.38, 302,938.16 and 52,186.94 is: 78,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,959.38 : 302,938.16 = 52,186.94 : x
  2. Step 2: Convert to fraction form
    201,959.38/302,938.16 = 52,186.94/x
  3. Step 3: Cross multiply
    201,959.38x = 302,938.16 × 52,186.94
  4. Step 4: Simplify right side
    201,959.38x = 15,809,415,579.63
  5. Step 5: Solve for x
    x = 15,809,415,579.63/201,959.38
  6. Step 6: Final answer
    x = 78,280.17

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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.