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Finding the Fourth Proportional to 254,462.40, 381,693.60 and 136,072.80

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Solution

The fourth proportional to 254,462.40, 381,693.60 and 136,072.80 is: 204,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,462.40 : 381,693.60 = 136,072.80 : x
  2. Step 2: Convert to fraction form
    254,462.40/381,693.60 = 136,072.80/x
  3. Step 3: Cross multiply
    254,462.40x = 381,693.60 × 136,072.80
  4. Step 4: Simplify right side
    254,462.40x = 51,938,116,894.08
  5. Step 5: Solve for x
    x = 51,938,116,894.08/254,462.40
  6. Step 6: Final answer
    x = 204,109.20

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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.