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Finding the Fourth Proportional to 193,090.80, 289,636.20 and 160,285.80

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Solution

The fourth proportional to 193,090.80, 289,636.20 and 160,285.80 is: 240,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,090.80 : 289,636.20 = 160,285.80 : x
  2. Step 2: Convert to fraction form
    193,090.80/289,636.20 = 160,285.80/x
  3. Step 3: Cross multiply
    193,090.80x = 289,636.20 × 160,285.80
  4. Step 4: Simplify right side
    193,090.80x = 46,424,570,025.96
  5. Step 5: Solve for x
    x = 46,424,570,025.96/193,090.80
  6. Step 6: Final answer
    x = 240,428.70

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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.