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Finding the Fourth Proportional to 201,566.52, 302,338.62 and 61,314.12

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Solution

The fourth proportional to 201,566.52, 302,338.62 and 61,314.12 is: 91,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,566.52 : 302,338.62 = 61,314.12 : x
  2. Step 2: Convert to fraction form
    201,566.52/302,338.62 = 61,314.12/x
  3. Step 3: Cross multiply
    201,566.52x = 302,338.62 × 61,314.12
  4. Step 4: Simplify right side
    201,566.52x = 18,537,626,427.31
  5. Step 5: Solve for x
    x = 18,537,626,427.31/201,566.52
  6. Step 6: Final answer
    x = 91,967.79

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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.