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Finding the Fourth Proportional to 195,814.40, 293,721.60 and 125,830.40

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Solution

The fourth proportional to 195,814.40, 293,721.60 and 125,830.40 is: 188,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,814.40 : 293,721.60 = 125,830.40 : x
  2. Step 2: Convert to fraction form
    195,814.40/293,721.60 = 125,830.40/x
  3. Step 3: Cross multiply
    195,814.40x = 293,721.60 × 125,830.40
  4. Step 4: Simplify right side
    195,814.40x = 36,959,106,416.64
  5. Step 5: Solve for x
    x = 36,959,106,416.64/195,814.40
  6. Step 6: Final answer
    x = 188,745.60

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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.