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Finding the Fourth Proportional to 170,486.51, 255,720.45 and 52,157.84

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Solution

The fourth proportional to 170,486.51, 255,720.45 and 52,157.84 is: 78,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,486.51 : 255,720.45 = 52,157.84 : x
  2. Step 2: Convert to fraction form
    170,486.51/255,720.45 = 52,157.84/x
  3. Step 3: Cross multiply
    170,486.51x = 255,720.45 × 52,157.84
  4. Step 4: Simplify right side
    170,486.51x = 13,337,825,037.23
  5. Step 5: Solve for x
    x = 13,337,825,037.23/170,486.51
  6. Step 6: Final answer
    x = 78,233.91

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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.