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Finding the Fourth Proportional to 186,467, 257,315.46 and 105,883.88

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Solution

The fourth proportional to 186,467, 257,315.46 and 105,883.88 is: 146,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,467 : 257,315.46 = 105,883.88 : x
  2. Step 2: Convert to fraction form
    186,467/257,315.46 = 105,883.88/x
  3. Step 3: Cross multiply
    186,467x = 257,315.46 × 105,883.88
  4. Step 4: Simplify right side
    186,467x = 27,245,559,288.78
  5. Step 5: Solve for x
    x = 27,245,559,288.78/186,467
  6. Step 6: Final answer
    x = 146,114.64

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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.