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Finding the Fourth Proportional to 186,678, 257,606.28 and 106,094.88

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Solution

The fourth proportional to 186,678, 257,606.28 and 106,094.88 is: 146,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,678 : 257,606.28 = 106,094.88 : x
  2. Step 2: Convert to fraction form
    186,678/257,606.28 = 106,094.88/x
  3. Step 3: Cross multiply
    186,678x = 257,606.28 × 106,094.88
  4. Step 4: Simplify right side
    186,678x = 27,330,707,363.85
  5. Step 5: Solve for x
    x = 27,330,707,363.85/186,678
  6. Step 6: Final answer
    x = 146,405.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.