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Finding the Fourth Proportional to 170,942.40, 256,494.60 and 114,809.40

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Solution

The fourth proportional to 170,942.40, 256,494.60 and 114,809.40 is: 172,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,942.40 : 256,494.60 = 114,809.40 : x
  2. Step 2: Convert to fraction form
    170,942.40/256,494.60 = 114,809.40/x
  3. Step 3: Cross multiply
    170,942.40x = 256,494.60 × 114,809.40
  4. Step 4: Simplify right side
    170,942.40x = 29,447,991,129.24
  5. Step 5: Solve for x
    x = 29,447,991,129.24/170,942.40
  6. Step 6: Final answer
    x = 172,268.50

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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.