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Finding the Fourth Proportional to 186,514.66, 257,382.18 and 105,941.94

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Solution

The fourth proportional to 186,514.66, 257,382.18 and 105,941.94 is: 146,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,514.66 : 257,382.18 = 105,941.94 : x
  2. Step 2: Convert to fraction form
    186,514.66/257,382.18 = 105,941.94/x
  3. Step 3: Cross multiply
    186,514.66x = 257,382.18 × 105,941.94
  4. Step 4: Simplify right side
    186,514.66x = 27,267,567,470.63
  5. Step 5: Solve for x
    x = 27,267,567,470.63/186,514.66
  6. Step 6: Final answer
    x = 146,195.30

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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.