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Finding the Fourth Proportional to 201,566.31, 302,338.53 and 61,314

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Solution

The fourth proportional to 201,566.31, 302,338.53 and 61,314 is: 91,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,566.31 : 302,338.53 = 61,314 : x
  2. Step 2: Convert to fraction form
    201,566.31/302,338.53 = 61,314/x
  3. Step 3: Cross multiply
    201,566.31x = 302,338.53 × 61,314
  4. Step 4: Simplify right side
    201,566.31x = 18,537,584,628.42
  5. Step 5: Solve for x
    x = 18,537,584,628.42/201,566.31
  6. Step 6: Final answer
    x = 91,967.67

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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.