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Finding the Fourth Proportional to 209,926.39, 289,534.56 and 145,419.97

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Solution

The fourth proportional to 209,926.39, 289,534.56 and 145,419.97 is: 200,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,926.39 : 289,534.56 = 145,419.97 : x
  2. Step 2: Convert to fraction form
    209,926.39/289,534.56 = 145,419.97/x
  3. Step 3: Cross multiply
    209,926.39x = 289,534.56 × 145,419.97
  4. Step 4: Simplify right side
    209,926.39x = 42,104,107,029.16
  5. Step 5: Solve for x
    x = 42,104,107,029.16/209,926.39
  6. Step 6: Final answer
    x = 200,566.05

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