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Finding the Fourth Proportional to 208,096.34, 287,172.86 and 112,603

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Solution

The fourth proportional to 208,096.34, 287,172.86 and 112,603 is: 155,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.34 : 287,172.86 = 112,603 : x
  2. Step 2: Convert to fraction form
    208,096.34/287,172.86 = 112,603/x
  3. Step 3: Cross multiply
    208,096.34x = 287,172.86 × 112,603
  4. Step 4: Simplify right side
    208,096.34x = 32,336,525,554.58
  5. Step 5: Solve for x
    x = 32,336,525,554.58/208,096.34
  6. Step 6: Final answer
    x = 155,392.09

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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.