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Finding the Fourth Proportional to 209,051.82, 288,491.76 and 113,558.49

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Solution

The fourth proportional to 209,051.82, 288,491.76 and 113,558.49 is: 156,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,051.82 : 288,491.76 = 113,558.49 : x
  2. Step 2: Convert to fraction form
    209,051.82/288,491.76 = 113,558.49/x
  3. Step 3: Cross multiply
    209,051.82x = 288,491.76 × 113,558.49
  4. Step 4: Simplify right side
    209,051.82x = 32,760,688,643.04
  5. Step 5: Solve for x
    x = 32,760,688,643.04/209,051.82
  6. Step 6: Final answer
    x = 156,710.85

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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.