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Finding the Fourth Proportional to 150,021.80, 224,741.10 and 83,342.60

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Solution

The fourth proportional to 150,021.80, 224,741.10 and 83,342.60 is: 124,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,021.80 : 224,741.10 = 83,342.60 : x
  2. Step 2: Convert to fraction form
    150,021.80/224,741.10 = 83,342.60/x
  3. Step 3: Cross multiply
    150,021.80x = 224,741.10 × 83,342.60
  4. Step 4: Simplify right side
    150,021.80x = 18,730,507,600.86
  5. Step 5: Solve for x
    x = 18,730,507,600.86/150,021.80
  6. Step 6: Final answer
    x = 124,851.91

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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.