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Finding the Fourth Proportional to 170,214.30, 255,321.45 and 117,726.30

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Solution

The fourth proportional to 170,214.30, 255,321.45 and 117,726.30 is: 176,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,214.30 : 255,321.45 = 117,726.30 : x
  2. Step 2: Convert to fraction form
    170,214.30/255,321.45 = 117,726.30/x
  3. Step 3: Cross multiply
    170,214.30x = 255,321.45 × 117,726.30
  4. Step 4: Simplify right side
    170,214.30x = 30,058,049,619.14
  5. Step 5: Solve for x
    x = 30,058,049,619.14/170,214.30
  6. Step 6: Final answer
    x = 176,589.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.