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Finding the Fourth Proportional to 170,470.12, 255,842.14 and 76,984.04

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Solution

The fourth proportional to 170,470.12, 255,842.14 and 76,984.04 is: 115,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,470.12 : 255,842.14 = 76,984.04 : x
  2. Step 2: Convert to fraction form
    170,470.12/255,842.14 = 76,984.04/x
  3. Step 3: Cross multiply
    170,470.12x = 255,842.14 × 76,984.04
  4. Step 4: Simplify right side
    170,470.12x = 19,695,761,539.45
  5. Step 5: Solve for x
    x = 19,695,761,539.45/170,470.12
  6. Step 6: Final answer
    x = 115,537.91

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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.