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Finding the Fourth Proportional to 180,284, 270,368.48 and 61,926.80

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Solution

The fourth proportional to 180,284, 270,368.48 and 61,926.80 is: 92,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,284 : 270,368.48 = 61,926.80 : x
  2. Step 2: Convert to fraction form
    180,284/270,368.48 = 61,926.80/x
  3. Step 3: Cross multiply
    180,284x = 270,368.48 × 61,926.80
  4. Step 4: Simplify right side
    180,284x = 16,743,054,787.26
  5. Step 5: Solve for x
    x = 16,743,054,787.26/180,284
  6. Step 6: Final answer
    x = 92,870.44

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Why These Related Problems?

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