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Finding the Fourth Proportional to 186,554.84, 257,446.55 and 105,986.78

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Solution

The fourth proportional to 186,554.84, 257,446.55 and 105,986.78 is: 146,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,554.84 : 257,446.55 = 105,986.78 : x
  2. Step 2: Convert to fraction form
    186,554.84/257,446.55 = 105,986.78/x
  3. Step 3: Cross multiply
    186,554.84x = 257,446.55 × 105,986.78
  4. Step 4: Simplify right side
    186,554.84x = 27,285,930,970.29
  5. Step 5: Solve for x
    x = 27,285,930,970.29/186,554.84
  6. Step 6: Final answer
    x = 146,262.25

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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.