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Finding the Fourth Proportional to 274,810.60, 411,975.90 and 106,445.80

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Solution

The fourth proportional to 274,810.60, 411,975.90 and 106,445.80 is: 159,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,810.60 : 411,975.90 = 106,445.80 : x
  2. Step 2: Convert to fraction form
    274,810.60/411,975.90 = 106,445.80/x
  3. Step 3: Cross multiply
    274,810.60x = 411,975.90 × 106,445.80
  4. Step 4: Simplify right side
    274,810.60x = 43,853,104,256.22
  5. Step 5: Solve for x
    x = 43,853,104,256.22/274,810.60
  6. Step 6: Final answer
    x = 159,575.74

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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.