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Finding the Fourth Proportional to 208,578.51, 287,844.02 and 117,948.04

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Solution

The fourth proportional to 208,578.51, 287,844.02 and 117,948.04 is: 162,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.51 : 287,844.02 = 117,948.04 : x
  2. Step 2: Convert to fraction form
    208,578.51/287,844.02 = 117,948.04/x
  3. Step 3: Cross multiply
    208,578.51x = 287,844.02 × 117,948.04
  4. Step 4: Simplify right side
    208,578.51x = 33,950,635,955.76
  5. Step 5: Solve for x
    x = 33,950,635,955.76/208,578.51
  6. Step 6: Final answer
    x = 162,771.49

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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.