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Finding the Fourth Proportional to 209,184, 314,914.26 and 190,583.57

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Solution

The fourth proportional to 209,184, 314,914.26 and 190,583.57 is: 286,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184 : 314,914.26 = 190,583.57 : x
  2. Step 2: Convert to fraction form
    209,184/314,914.26 = 190,583.57/x
  3. Step 3: Cross multiply
    209,184x = 314,914.26 × 190,583.57
  4. Step 4: Simplify right side
    209,184x = 60,017,482,340.14
  5. Step 5: Solve for x
    x = 60,017,482,340.14/209,184
  6. Step 6: Final answer
    x = 286,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.