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Finding the Fourth Proportional to 208,280, 312,515.20 and 113,368

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Solution

The fourth proportional to 208,280, 312,515.20 and 113,368 is: 170,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280 : 312,515.20 = 113,368 : x
  2. Step 2: Convert to fraction form
    208,280/312,515.20 = 113,368/x
  3. Step 3: Cross multiply
    208,280x = 312,515.20 × 113,368
  4. Step 4: Simplify right side
    208,280x = 35,429,223,193.60
  5. Step 5: Solve for x
    x = 35,429,223,193.60/208,280
  6. Step 6: Final answer
    x = 170,103.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.