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Finding the Fourth Proportional to 208,802.25, 288,147.11 and 118,156.37

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Solution

The fourth proportional to 208,802.25, 288,147.11 and 118,156.37 is: 163,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,802.25 : 288,147.11 = 118,156.37 : x
  2. Step 2: Convert to fraction form
    208,802.25/288,147.11 = 118,156.37/x
  3. Step 3: Cross multiply
    208,802.25x = 288,147.11 × 118,156.37
  4. Step 4: Simplify right side
    208,802.25x = 34,046,414,512.07
  5. Step 5: Solve for x
    x = 34,046,414,512.07/208,802.25
  6. Step 6: Final answer
    x = 163,055.78

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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.