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Finding the Fourth Proportional to 208,172.30, 287,277.17 and 112,678.74

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Solution

The fourth proportional to 208,172.30, 287,277.17 and 112,678.74 is: 155,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172.30 : 287,277.17 = 112,678.74 : x
  2. Step 2: Convert to fraction form
    208,172.30/287,277.17 = 112,678.74/x
  3. Step 3: Cross multiply
    208,172.30x = 287,277.17 × 112,678.74
  4. Step 4: Simplify right side
    208,172.30x = 32,370,028,982.97
  5. Step 5: Solve for x
    x = 32,370,028,982.97/208,172.30
  6. Step 6: Final answer
    x = 155,496.34

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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.