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Finding the Fourth Proportional to 180,482, 270,723 and 49,154

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Solution

The fourth proportional to 180,482, 270,723 and 49,154 is: 73,731

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,482 : 270,723 = 49,154 : x
  2. Step 2: Convert to fraction form
    180,482/270,723 = 49,154/x
  3. Step 3: Cross multiply
    180,482x = 270,723 × 49,154
  4. Step 4: Simplify right side
    180,482x = 13,307,118,342
  5. Step 5: Solve for x
    x = 13,307,118,342/180,482
  6. Step 6: Final answer
    x = 73,731

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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.