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Finding the Fourth Proportional to 162,804.60, 244,328.40 and 83,878.20

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Solution

The fourth proportional to 162,804.60, 244,328.40 and 83,878.20 is: 125,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,804.60 : 244,328.40 = 83,878.20 : x
  2. Step 2: Convert to fraction form
    162,804.60/244,328.40 = 83,878.20/x
  3. Step 3: Cross multiply
    162,804.60x = 244,328.40 × 83,878.20
  4. Step 4: Simplify right side
    162,804.60x = 20,493,826,400.88
  5. Step 5: Solve for x
    x = 20,493,826,400.88/162,804.60
  6. Step 6: Final answer
    x = 125,879.90

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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.