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Finding the Fourth Proportional to 208,326.33, 287,508.02 and 117,698.94

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Solution

The fourth proportional to 208,326.33, 287,508.02 and 117,698.94 is: 162,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326.33 : 287,508.02 = 117,698.94 : x
  2. Step 2: Convert to fraction form
    208,326.33/287,508.02 = 117,698.94/x
  3. Step 3: Cross multiply
    208,326.33x = 287,508.02 × 117,698.94
  4. Step 4: Simplify right side
    208,326.33x = 33,839,388,607.00
  5. Step 5: Solve for x
    x = 33,839,388,607.00/208,326.33
  6. Step 6: Final answer
    x = 162,434.53

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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.