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Finding the Fourth Proportional to 208,103.41, 287,112.42 and 135,473.14

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Solution

The fourth proportional to 208,103.41, 287,112.42 and 135,473.14 is: 186,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,103.41 : 287,112.42 = 135,473.14 : x
  2. Step 2: Convert to fraction form
    208,103.41/287,112.42 = 135,473.14/x
  3. Step 3: Cross multiply
    208,103.41x = 287,112.42 × 135,473.14
  4. Step 4: Simplify right side
    208,103.41x = 38,896,020,393.03
  5. Step 5: Solve for x
    x = 38,896,020,393.03/208,103.41
  6. Step 6: Final answer
    x = 186,907.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.