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Finding the Fourth Proportional to 186,544.36, 257,423.04 and 105,971.56

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Solution

The fourth proportional to 186,544.36, 257,423.04 and 105,971.56 is: 146,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,544.36 : 257,423.04 = 105,971.56 : x
  2. Step 2: Convert to fraction form
    186,544.36/257,423.04 = 105,971.56/x
  3. Step 3: Cross multiply
    186,544.36x = 257,423.04 × 105,971.56
  4. Step 4: Simplify right side
    186,544.36x = 27,279,521,128.74
  5. Step 5: Solve for x
    x = 27,279,521,128.74/186,544.36
  6. Step 6: Final answer
    x = 146,236.11

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