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Finding the Fourth Proportional to 208,073.58, 287,142.53 and 117,433.36

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Solution

The fourth proportional to 208,073.58, 287,142.53 and 117,433.36 is: 162,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,073.58 : 287,142.53 = 117,433.36 : x
  2. Step 2: Convert to fraction form
    208,073.58/287,142.53 = 117,433.36/x
  3. Step 3: Cross multiply
    208,073.58x = 287,142.53 × 117,433.36
  4. Step 4: Simplify right side
    208,073.58x = 33,720,111,868.56
  5. Step 5: Solve for x
    x = 33,720,111,868.56/208,073.58
  6. Step 6: Final answer
    x = 162,058.60

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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.