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Finding the Fourth Proportional to 284,114.50, 426,172.56 and 73,754.26

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Solution

The fourth proportional to 284,114.50, 426,172.56 and 73,754.26 is: 110,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.50 : 426,172.56 = 73,754.26 : x
  2. Step 2: Convert to fraction form
    284,114.50/426,172.56 = 73,754.26/x
  3. Step 3: Cross multiply
    284,114.50x = 426,172.56 × 73,754.26
  4. Step 4: Simplify right side
    284,114.50x = 31,432,041,795.11
  5. Step 5: Solve for x
    x = 31,432,041,795.11/284,114.50
  6. Step 6: Final answer
    x = 110,631.60

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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.