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Finding the Fourth Proportional to 170,763.14, 235,843.45 and 132,977.25

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Solution

The fourth proportional to 170,763.14, 235,843.45 and 132,977.25 is: 183,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,763.14 : 235,843.45 = 132,977.25 : x
  2. Step 2: Convert to fraction form
    170,763.14/235,843.45 = 132,977.25/x
  3. Step 3: Cross multiply
    170,763.14x = 235,843.45 × 132,977.25
  4. Step 4: Simplify right side
    170,763.14x = 31,361,813,079.07
  5. Step 5: Solve for x
    x = 31,361,813,079.07/170,763.14
  6. Step 6: Final answer
    x = 183,656.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.