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Finding the Fourth Proportional to 108,235.76, 162,323.40 and 45,863.60

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Solution

The fourth proportional to 108,235.76, 162,323.40 and 45,863.60 is: 68,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,235.76 : 162,323.40 = 45,863.60 : x
  2. Step 2: Convert to fraction form
    108,235.76/162,323.40 = 45,863.60/x
  3. Step 3: Cross multiply
    108,235.76x = 162,323.40 × 45,863.60
  4. Step 4: Simplify right side
    108,235.76x = 7,444,735,488.24
  5. Step 5: Solve for x
    x = 7,444,735,488.24/108,235.76
  6. Step 6: Final answer
    x = 68,782.59

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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.