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Finding the Fourth Proportional to 205,409.80, 308,114.70 and 195,041.80

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Solution

The fourth proportional to 205,409.80, 308,114.70 and 195,041.80 is: 292,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,409.80 : 308,114.70 = 195,041.80 : x
  2. Step 2: Convert to fraction form
    205,409.80/308,114.70 = 195,041.80/x
  3. Step 3: Cross multiply
    205,409.80x = 308,114.70 × 195,041.80
  4. Step 4: Simplify right side
    205,409.80x = 60,095,245,694.46
  5. Step 5: Solve for x
    x = 60,095,245,694.46/205,409.80
  6. Step 6: Final answer
    x = 292,562.70

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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.