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Finding the Fourth Proportional to 180,492, 270,738 and 49,164

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Solution

The fourth proportional to 180,492, 270,738 and 49,164 is: 73,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,492 : 270,738 = 49,164 : x
  2. Step 2: Convert to fraction form
    180,492/270,738 = 49,164/x
  3. Step 3: Cross multiply
    180,492x = 270,738 × 49,164
  4. Step 4: Simplify right side
    180,492x = 13,310,563,032
  5. Step 5: Solve for x
    x = 13,310,563,032/180,492
  6. Step 6: Final answer
    x = 73,746

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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.