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Finding the Fourth Proportional to 193,615.80, 290,423.70 and 160,847.80

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Solution

The fourth proportional to 193,615.80, 290,423.70 and 160,847.80 is: 241,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,615.80 : 290,423.70 = 160,847.80 : x
  2. Step 2: Convert to fraction form
    193,615.80/290,423.70 = 160,847.80/x
  3. Step 3: Cross multiply
    193,615.80x = 290,423.70 × 160,847.80
  4. Step 4: Simplify right side
    193,615.80x = 46,714,013,212.86
  5. Step 5: Solve for x
    x = 46,714,013,212.86/193,615.80
  6. Step 6: Final answer
    x = 241,271.70

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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.