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Finding the Fourth Proportional to 193,855.50, 290,783.25 and 53,614.13

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Solution

The fourth proportional to 193,855.50, 290,783.25 and 53,614.13 is: 80,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,855.50 : 290,783.25 = 53,614.13 : x
  2. Step 2: Convert to fraction form
    193,855.50/290,783.25 = 53,614.13/x
  3. Step 3: Cross multiply
    193,855.50x = 290,783.25 × 53,614.13
  4. Step 4: Simplify right side
    193,855.50x = 15,590,089,513.41
  5. Step 5: Solve for x
    x = 15,590,089,513.41/193,855.50
  6. Step 6: Final answer
    x = 80,421.19

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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.