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Finding the Fourth Proportional to 209,040.86, 288,365.82 and 132,424.81

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Solution

The fourth proportional to 209,040.86, 288,365.82 and 132,424.81 is: 182,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,040.86 : 288,365.82 = 132,424.81 : x
  2. Step 2: Convert to fraction form
    209,040.86/288,365.82 = 132,424.81/x
  3. Step 3: Cross multiply
    209,040.86x = 288,365.82 × 132,424.81
  4. Step 4: Simplify right side
    209,040.86x = 38,186,788,923.99
  5. Step 5: Solve for x
    x = 38,186,788,923.99/209,040.86
  6. Step 6: Final answer
    x = 182,676.20

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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.