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Finding the Fourth Proportional to 205,409.70, 308,114.55 and 94,817.70

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Solution

The fourth proportional to 205,409.70, 308,114.55 and 94,817.70 is: 142,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,409.70 : 308,114.55 = 94,817.70 : x
  2. Step 2: Convert to fraction form
    205,409.70/308,114.55 = 94,817.70/x
  3. Step 3: Cross multiply
    205,409.70x = 308,114.55 × 94,817.70
  4. Step 4: Simplify right side
    205,409.70x = 29,214,712,967.54
  5. Step 5: Solve for x
    x = 29,214,712,967.54/205,409.70
  6. Step 6: Final answer
    x = 142,226.55

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1.5x scale

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.