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Finding the Fourth Proportional to 170,765.56, 256,147.80 and 46,106.56

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Solution

The fourth proportional to 170,765.56, 256,147.80 and 46,106.56 is: 69,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,765.56 : 256,147.80 = 46,106.56 : x
  2. Step 2: Convert to fraction form
    170,765.56/256,147.80 = 46,106.56/x
  3. Step 3: Cross multiply
    170,765.56x = 256,147.80 × 46,106.56
  4. Step 4: Simplify right side
    170,765.56x = 11,810,093,909.57
  5. Step 5: Solve for x
    x = 11,810,093,909.57/170,765.56
  6. Step 6: Final answer
    x = 69,159.69

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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.