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Finding the Fourth Proportional to 163,705.96, 225,945.24 and 102,480.60

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Solution

The fourth proportional to 163,705.96, 225,945.24 and 102,480.60 is: 141,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,705.96 : 225,945.24 = 102,480.60 : x
  2. Step 2: Convert to fraction form
    163,705.96/225,945.24 = 102,480.60/x
  3. Step 3: Cross multiply
    163,705.96x = 225,945.24 × 102,480.60
  4. Step 4: Simplify right side
    163,705.96x = 23,155,003,762.34
  5. Step 5: Solve for x
    x = 23,155,003,762.34/163,705.96
  6. Step 6: Final answer
    x = 141,442.64

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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.