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Finding the Fourth Proportional to 208,106.21, 287,199.57 and 117,477.52

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Solution

The fourth proportional to 208,106.21, 287,199.57 and 117,477.52 is: 162,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,106.21 : 287,199.57 = 117,477.52 : x
  2. Step 2: Convert to fraction form
    208,106.21/287,199.57 = 117,477.52/x
  3. Step 3: Cross multiply
    208,106.21x = 287,199.57 × 117,477.52
  4. Step 4: Simplify right side
    208,106.21x = 33,739,494,869.61
  5. Step 5: Solve for x
    x = 33,739,494,869.61/208,106.21
  6. Step 6: Final answer
    x = 162,126.33

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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.