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Finding the Fourth Proportional to 284,777.04, 427,194.60 and 97,764.24

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Solution

The fourth proportional to 284,777.04, 427,194.60 and 97,764.24 is: 146,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,777.04 : 427,194.60 = 97,764.24 : x
  2. Step 2: Convert to fraction form
    284,777.04/427,194.60 = 97,764.24/x
  3. Step 3: Cross multiply
    284,777.04x = 427,194.60 × 97,764.24
  4. Step 4: Simplify right side
    284,777.04x = 41,764,355,401.10
  5. Step 5: Solve for x
    x = 41,764,355,401.10/284,777.04
  6. Step 6: Final answer
    x = 146,656.33

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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.