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Finding the Fourth Proportional to 171,867.60, 257,072.40 and 154,225.80

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Solution

The fourth proportional to 171,867.60, 257,072.40 and 154,225.80 is: 230,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,867.60 : 257,072.40 = 154,225.80 : x
  2. Step 2: Convert to fraction form
    171,867.60/257,072.40 = 154,225.80/x
  3. Step 3: Cross multiply
    171,867.60x = 257,072.40 × 154,225.80
  4. Step 4: Simplify right side
    171,867.60x = 39,647,196,547.92
  5. Step 5: Solve for x
    x = 39,647,196,547.92/171,867.60
  6. Step 6: Final answer
    x = 230,684.53

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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.