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Finding the Fourth Proportional to 180,357.60, 248,814 and 108,695.28

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Solution

The fourth proportional to 180,357.60, 248,814 and 108,695.28 is: 149,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,357.60 : 248,814 = 108,695.28 : x
  2. Step 2: Convert to fraction form
    180,357.60/248,814 = 108,695.28/x
  3. Step 3: Cross multiply
    180,357.60x = 248,814 × 108,695.28
  4. Step 4: Simplify right side
    180,357.60x = 27,044,907,397.92
  5. Step 5: Solve for x
    x = 27,044,907,397.92/180,357.60
  6. Step 6: Final answer
    x = 149,951.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.