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Finding the Fourth Proportional to 171,873.60, 257,081.40 and 154,231.80

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Solution

The fourth proportional to 171,873.60, 257,081.40 and 154,231.80 is: 230,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,873.60 : 257,081.40 = 154,231.80 : x
  2. Step 2: Convert to fraction form
    171,873.60/257,081.40 = 154,231.80/x
  3. Step 3: Cross multiply
    171,873.60x = 257,081.40 × 154,231.80
  4. Step 4: Simplify right side
    171,873.60x = 39,650,127,068.52
  5. Step 5: Solve for x
    x = 39,650,127,068.52/171,873.60
  6. Step 6: Final answer
    x = 230,693.53

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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.