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Finding the Fourth Proportional to 195,409.40, 293,114.10 and 125,425.40

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Solution

The fourth proportional to 195,409.40, 293,114.10 and 125,425.40 is: 188,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,409.40 : 293,114.10 = 125,425.40 : x
  2. Step 2: Convert to fraction form
    195,409.40/293,114.10 = 125,425.40/x
  3. Step 3: Cross multiply
    195,409.40x = 293,114.10 × 125,425.40
  4. Step 4: Simplify right side
    195,409.40x = 36,763,953,238.14
  5. Step 5: Solve for x
    x = 36,763,953,238.14/195,409.40
  6. Step 6: Final answer
    x = 188,138.10

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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.