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Finding the Fourth Proportional to 205,034.40, 307,551.60 and 202,269.60

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Solution

The fourth proportional to 205,034.40, 307,551.60 and 202,269.60 is: 303,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.40 : 307,551.60 = 202,269.60 : x
  2. Step 2: Convert to fraction form
    205,034.40/307,551.60 = 202,269.60/x
  3. Step 3: Cross multiply
    205,034.40x = 307,551.60 × 202,269.60
  4. Step 4: Simplify right side
    205,034.40x = 62,208,339,111.36
  5. Step 5: Solve for x
    x = 62,208,339,111.36/205,034.40
  6. Step 6: Final answer
    x = 303,404.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.