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Finding the Fourth Proportional to 170,538.60, 255,662.04 and 65,433

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Solution

The fourth proportional to 170,538.60, 255,662.04 and 65,433 is: 98,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,538.60 : 255,662.04 = 65,433 : x
  2. Step 2: Convert to fraction form
    170,538.60/255,662.04 = 65,433/x
  3. Step 3: Cross multiply
    170,538.60x = 255,662.04 × 65,433
  4. Step 4: Simplify right side
    170,538.60x = 16,728,734,263.32
  5. Step 5: Solve for x
    x = 16,728,734,263.32/170,538.60
  6. Step 6: Final answer
    x = 98,093.54

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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.