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Finding the Fourth Proportional to 170,053.40, 255,069.30 and 57,733.40

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Solution

The fourth proportional to 170,053.40, 255,069.30 and 57,733.40 is: 86,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,053.40 : 255,069.30 = 57,733.40 : x
  2. Step 2: Convert to fraction form
    170,053.40/255,069.30 = 57,733.40/x
  3. Step 3: Cross multiply
    170,053.40x = 255,069.30 × 57,733.40
  4. Step 4: Simplify right side
    170,053.40x = 14,726,017,924.62
  5. Step 5: Solve for x
    x = 14,726,017,924.62/170,053.40
  6. Step 6: Final answer
    x = 86,596.43

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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.