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Finding the Fourth Proportional to 209,435.51, 311,784.36 and 208,189.93

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Solution

The fourth proportional to 209,435.51, 311,784.36 and 208,189.93 is: 309,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.51 : 311,784.36 = 208,189.93 : x
  2. Step 2: Convert to fraction form
    209,435.51/311,784.36 = 208,189.93/x
  3. Step 3: Cross multiply
    209,435.51x = 311,784.36 × 208,189.93
  4. Step 4: Simplify right side
    209,435.51x = 64,910,364,083.49
  5. Step 5: Solve for x
    x = 64,910,364,083.49/209,435.51
  6. Step 6: Final answer
    x = 309,930.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.