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Finding the Fourth Proportional to 199,408.40, 299,112.60 and 185,411.60

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Solution

The fourth proportional to 199,408.40, 299,112.60 and 185,411.60 is: 278,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,408.40 : 299,112.60 = 185,411.60 : x
  2. Step 2: Convert to fraction form
    199,408.40/299,112.60 = 185,411.60/x
  3. Step 3: Cross multiply
    199,408.40x = 299,112.60 × 185,411.60
  4. Step 4: Simplify right side
    199,408.40x = 55,458,945,746.16
  5. Step 5: Solve for x
    x = 55,458,945,746.16/199,408.40
  6. Step 6: Final answer
    x = 278,117.40

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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.