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Finding the Fourth Proportional to 180,104.48, 270,071.87 and 105,246.26

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Solution

The fourth proportional to 180,104.48, 270,071.87 and 105,246.26 is: 157,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,104.48 : 270,071.87 = 105,246.26 : x
  2. Step 2: Convert to fraction form
    180,104.48/270,071.87 = 105,246.26/x
  3. Step 3: Cross multiply
    180,104.48x = 270,071.87 × 105,246.26
  4. Step 4: Simplify right side
    180,104.48x = 28,424,054,248.71
  5. Step 5: Solve for x
    x = 28,424,054,248.71/180,104.48
  6. Step 6: Final answer
    x = 157,819.81

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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.