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Finding the Fourth Proportional to 205,409.40, 308,114.10 and 202,644.60

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Solution

The fourth proportional to 205,409.40, 308,114.10 and 202,644.60 is: 303,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,409.40 : 308,114.10 = 202,644.60 : x
  2. Step 2: Convert to fraction form
    205,409.40/308,114.10 = 202,644.60/x
  3. Step 3: Cross multiply
    205,409.40x = 308,114.10 × 202,644.60
  4. Step 4: Simplify right side
    205,409.40x = 62,437,658,548.86
  5. Step 5: Solve for x
    x = 62,437,658,548.86/205,409.40
  6. Step 6: Final answer
    x = 303,966.90

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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.