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Finding the Fourth Proportional to 340,099.98, 469,325.43 and 189,193.74

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Solution

The fourth proportional to 340,099.98, 469,325.43 and 189,193.74 is: 261,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,099.98 : 469,325.43 = 189,193.74 : x
  2. Step 2: Convert to fraction form
    340,099.98/469,325.43 = 189,193.74/x
  3. Step 3: Cross multiply
    340,099.98x = 469,325.43 × 189,193.74
  4. Step 4: Simplify right side
    340,099.98x = 88,793,433,378.81
  5. Step 5: Solve for x
    x = 88,793,433,378.81/340,099.98
  6. Step 6: Final answer
    x = 261,080.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.