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Finding the Fourth Proportional to 209,200.49, 288,699.95 and 113,707.43

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Solution

The fourth proportional to 209,200.49, 288,699.95 and 113,707.43 is: 156,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.49 : 288,699.95 = 113,707.43 : x
  2. Step 2: Convert to fraction form
    209,200.49/288,699.95 = 113,707.43/x
  3. Step 3: Cross multiply
    209,200.49x = 288,699.95 × 113,707.43
  4. Step 4: Simplify right side
    209,200.49x = 32,827,327,343.59
  5. Step 5: Solve for x
    x = 32,827,327,343.59/209,200.49
  6. Step 6: Final answer
    x = 156,918.03

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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.