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Finding the Fourth Proportional to 171,865.60, 257,069.40 and 154,223.80

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Solution

The fourth proportional to 171,865.60, 257,069.40 and 154,223.80 is: 230,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,865.60 : 257,069.40 = 154,223.80 : x
  2. Step 2: Convert to fraction form
    171,865.60/257,069.40 = 154,223.80/x
  3. Step 3: Cross multiply
    171,865.60x = 257,069.40 × 154,223.80
  4. Step 4: Simplify right side
    171,865.60x = 39,646,219,731.72
  5. Step 5: Solve for x
    x = 39,646,219,731.72/171,865.60
  6. Step 6: Final answer
    x = 230,681.53

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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.