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Finding the Fourth Proportional to 208,744.16, 287,998.72 and 118,091.36

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Solution

The fourth proportional to 208,744.16, 287,998.72 and 118,091.36 is: 162,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744.16 : 287,998.72 = 118,091.36 : x
  2. Step 2: Convert to fraction form
    208,744.16/287,998.72 = 118,091.36/x
  3. Step 3: Cross multiply
    208,744.16x = 287,998.72 × 118,091.36
  4. Step 4: Simplify right side
    208,744.16x = 34,010,160,523.06
  5. Step 5: Solve for x
    x = 34,010,160,523.06/208,744.16
  6. Step 6: Final answer
    x = 162,927.48

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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.