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Finding the Fourth Proportional to 201,333.16, 302,000.70 and 61,093

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Solution

The fourth proportional to 201,333.16, 302,000.70 and 61,093 is: 91,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,333.16 : 302,000.70 = 61,093 : x
  2. Step 2: Convert to fraction form
    201,333.16/302,000.70 = 61,093/x
  3. Step 3: Cross multiply
    201,333.16x = 302,000.70 × 61,093
  4. Step 4: Simplify right side
    201,333.16x = 18,450,128,765.10
  5. Step 5: Solve for x
    x = 18,450,128,765.10/201,333.16
  6. Step 6: Final answer
    x = 91,639.79

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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.