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Finding the Fourth Proportional to 209,199.98, 288,699.26 and 113,706.92

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Solution

The fourth proportional to 209,199.98, 288,699.26 and 113,706.92 is: 156,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,199.98 : 288,699.26 = 113,706.92 : x
  2. Step 2: Convert to fraction form
    209,199.98/288,699.26 = 113,706.92/x
  3. Step 3: Cross multiply
    209,199.98x = 288,699.26 × 113,706.92
  4. Step 4: Simplify right side
    209,199.98x = 32,827,103,814.09
  5. Step 5: Solve for x
    x = 32,827,103,814.09/209,199.98
  6. Step 6: Final answer
    x = 156,917.34

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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.