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Finding the Fourth Proportional to 201,883.30, 302,715.60 and 83,566.60

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Solution

The fourth proportional to 201,883.30, 302,715.60 and 83,566.60 is: 125,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.30 : 302,715.60 = 83,566.60 : x
  2. Step 2: Convert to fraction form
    201,883.30/302,715.60 = 83,566.60/x
  3. Step 3: Cross multiply
    201,883.30x = 302,715.60 × 83,566.60
  4. Step 4: Simplify right side
    201,883.30x = 25,296,913,458.96
  5. Step 5: Solve for x
    x = 25,296,913,458.96/201,883.30
  6. Step 6: Final answer
    x = 125,304.64

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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.