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Finding the Fourth Proportional to 209,538.42, 289,169.16 and 114,051.30

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Solution

The fourth proportional to 209,538.42, 289,169.16 and 114,051.30 is: 157,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.42 : 289,169.16 = 114,051.30 : x
  2. Step 2: Convert to fraction form
    209,538.42/289,169.16 = 114,051.30/x
  3. Step 3: Cross multiply
    209,538.42x = 289,169.16 × 114,051.30
  4. Step 4: Simplify right side
    209,538.42x = 32,980,118,617.91
  5. Step 5: Solve for x
    x = 32,980,118,617.91/209,538.42
  6. Step 6: Final answer
    x = 157,394.14

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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.