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Finding the Fourth Proportional to 254,969.60, 382,324.80 and 149,820.80

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Solution

The fourth proportional to 254,969.60, 382,324.80 and 149,820.80 is: 224,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,969.60 : 382,324.80 = 149,820.80 : x
  2. Step 2: Convert to fraction form
    254,969.60/382,324.80 = 149,820.80/x
  3. Step 3: Cross multiply
    254,969.60x = 382,324.80 × 149,820.80
  4. Step 4: Simplify right side
    254,969.60x = 57,280,207,395.84
  5. Step 5: Solve for x
    x = 57,280,207,395.84/254,969.60
  6. Step 6: Final answer
    x = 224,655.05

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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.