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Finding the Fourth Proportional to 186,894.59, 257,890.41 and 105,212.54

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Solution

The fourth proportional to 186,894.59, 257,890.41 and 105,212.54 is: 145,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894.59 : 257,890.41 = 105,212.54 : x
  2. Step 2: Convert to fraction form
    186,894.59/257,890.41 = 105,212.54/x
  3. Step 3: Cross multiply
    186,894.59x = 257,890.41 × 105,212.54
  4. Step 4: Simplify right side
    186,894.59x = 27,133,303,788.29
  5. Step 5: Solve for x
    x = 27,133,303,788.29/186,894.59
  6. Step 6: Final answer
    x = 145,179.72

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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.