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Finding the Fourth Proportional to 284,656.96, 426,656.70 and 107,050.60

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Solution

The fourth proportional to 284,656.96, 426,656.70 and 107,050.60 is: 160,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656.96 : 426,656.70 = 107,050.60 : x
  2. Step 2: Convert to fraction form
    284,656.96/426,656.70 = 107,050.60/x
  3. Step 3: Cross multiply
    284,656.96x = 426,656.70 × 107,050.60
  4. Step 4: Simplify right side
    284,656.96x = 45,673,855,729.02
  5. Step 5: Solve for x
    x = 45,673,855,729.02/284,656.96
  6. Step 6: Final answer
    x = 160,452.27

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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.