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Finding the Fourth Proportional to 208,635.84, 287,915.88 and 113,142.72

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Solution

The fourth proportional to 208,635.84, 287,915.88 and 113,142.72 is: 156,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,635.84 : 287,915.88 = 113,142.72 : x
  2. Step 2: Convert to fraction form
    208,635.84/287,915.88 = 113,142.72/x
  3. Step 3: Cross multiply
    208,635.84x = 287,915.88 × 113,142.72
  4. Step 4: Simplify right side
    208,635.84x = 32,575,585,794.39
  5. Step 5: Solve for x
    x = 32,575,585,794.39/208,635.84
  6. Step 6: Final answer
    x = 156,136.10

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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.