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Finding the Fourth Proportional to 270,807.84, 405,946.62 and 113,081.40

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Solution

The fourth proportional to 270,807.84, 405,946.62 and 113,081.40 is: 169,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,807.84 : 405,946.62 = 113,081.40 : x
  2. Step 2: Convert to fraction form
    270,807.84/405,946.62 = 113,081.40/x
  3. Step 3: Cross multiply
    270,807.84x = 405,946.62 × 113,081.40
  4. Step 4: Simplify right side
    270,807.84x = 45,905,012,114.87
  5. Step 5: Solve for x
    x = 45,905,012,114.87/270,807.84
  6. Step 6: Final answer
    x = 169,511.39

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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.