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Finding the Fourth Proportional to 254,805.20, 382,499.40 and 149,683.40

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Solution

The fourth proportional to 254,805.20, 382,499.40 and 149,683.40 is: 224,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,805.20 : 382,499.40 = 149,683.40 : x
  2. Step 2: Convert to fraction form
    254,805.20/382,499.40 = 149,683.40/x
  3. Step 3: Cross multiply
    254,805.20x = 382,499.40 × 149,683.40
  4. Step 4: Simplify right side
    254,805.20x = 57,253,810,689.96
  5. Step 5: Solve for x
    x = 57,253,810,689.96/254,805.20
  6. Step 6: Final answer
    x = 224,696.40

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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.