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Finding the Fourth Proportional to 205,140.40, 307,710.60 and 202,375.60

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Solution

The fourth proportional to 205,140.40, 307,710.60 and 202,375.60 is: 303,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,140.40 : 307,710.60 = 202,375.60 : x
  2. Step 2: Convert to fraction form
    205,140.40/307,710.60 = 202,375.60/x
  3. Step 3: Cross multiply
    205,140.40x = 307,710.60 × 202,375.60
  4. Step 4: Simplify right side
    205,140.40x = 62,273,117,301.36
  5. Step 5: Solve for x
    x = 62,273,117,301.36/205,140.40
  6. Step 6: Final answer
    x = 303,563.40

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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.