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Finding the Fourth Proportional to 170,200.80, 254,696.40 and 148,255.20

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Solution

The fourth proportional to 170,200.80, 254,696.40 and 148,255.20 is: 221,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,200.80 : 254,696.40 = 148,255.20 : x
  2. Step 2: Convert to fraction form
    170,200.80/254,696.40 = 148,255.20/x
  3. Step 3: Cross multiply
    170,200.80x = 254,696.40 × 148,255.20
  4. Step 4: Simplify right side
    170,200.80x = 37,760,065,721.28
  5. Step 5: Solve for x
    x = 37,760,065,721.28/170,200.80
  6. Step 6: Final answer
    x = 221,855.98

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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.