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Finding the Fourth Proportional to 462,138.86, 693,206.12 and 125,178.86

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Solution

The fourth proportional to 462,138.86, 693,206.12 and 125,178.86 is: 187,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,138.86 : 693,206.12 = 125,178.86 : x
  2. Step 2: Convert to fraction form
    462,138.86/693,206.12 = 125,178.86/x
  3. Step 3: Cross multiply
    462,138.86x = 693,206.12 × 125,178.86
  4. Step 4: Simplify right side
    462,138.86x = 86,774,751,846.62
  5. Step 5: Solve for x
    x = 86,774,751,846.62/462,138.86
  6. Step 6: Final answer
    x = 187,767.70

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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.