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Finding the Fourth Proportional to 209,212.74, 288,707.49 and 113,716.98

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Solution

The fourth proportional to 209,212.74, 288,707.49 and 113,716.98 is: 156,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,212.74 : 288,707.49 = 113,716.98 : x
  2. Step 2: Convert to fraction form
    209,212.74/288,707.49 = 113,716.98/x
  3. Step 3: Cross multiply
    209,212.74x = 288,707.49 × 113,716.98
  4. Step 4: Simplify right side
    209,212.74x = 32,830,943,866.18
  5. Step 5: Solve for x
    x = 32,830,943,866.18/209,212.74
  6. Step 6: Final answer
    x = 156,926.12

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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.