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Finding the Fourth Proportional to 171,743.60, 256,886.40 and 154,101.80

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Solution

The fourth proportional to 171,743.60, 256,886.40 and 154,101.80 is: 230,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,743.60 : 256,886.40 = 154,101.80 : x
  2. Step 2: Convert to fraction form
    171,743.60/256,886.40 = 154,101.80/x
  3. Step 3: Cross multiply
    171,743.60x = 256,886.40 × 154,101.80
  4. Step 4: Simplify right side
    171,743.60x = 39,586,656,635.52
  5. Step 5: Solve for x
    x = 39,586,656,635.52/171,743.60
  6. Step 6: Final answer
    x = 230,498.58

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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.