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Finding the Fourth Proportional to 215,620.10, 323,430.20 and 65,852.32

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Solution

The fourth proportional to 215,620.10, 323,430.20 and 65,852.32 is: 98,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,620.10 : 323,430.20 = 65,852.32 : x
  2. Step 2: Convert to fraction form
    215,620.10/323,430.20 = 65,852.32/x
  3. Step 3: Cross multiply
    215,620.10x = 323,430.20 × 65,852.32
  4. Step 4: Simplify right side
    215,620.10x = 21,298,629,028.06
  5. Step 5: Solve for x
    x = 21,298,629,028.06/215,620.10
  6. Step 6: Final answer
    x = 98,778.50

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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.