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Finding the Fourth Proportional to 185,438.80, 278,093.40 and 96,662.80

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Solution

The fourth proportional to 185,438.80, 278,093.40 and 96,662.80 is: 144,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,438.80 : 278,093.40 = 96,662.80 : x
  2. Step 2: Convert to fraction form
    185,438.80/278,093.40 = 96,662.80/x
  3. Step 3: Cross multiply
    185,438.80x = 278,093.40 × 96,662.80
  4. Step 4: Simplify right side
    185,438.80x = 26,881,286,705.52
  5. Step 5: Solve for x
    x = 26,881,286,705.52/185,438.80
  6. Step 6: Final answer
    x = 144,960.42

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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.