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Finding the Fourth Proportional to 186,512.16, 257,378.74 and 105,939.44

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Solution

The fourth proportional to 186,512.16, 257,378.74 and 105,939.44 is: 146,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512.16 : 257,378.74 = 105,939.44 : x
  2. Step 2: Convert to fraction form
    186,512.16/257,378.74 = 105,939.44/x
  3. Step 3: Cross multiply
    186,512.16x = 257,378.74 × 105,939.44
  4. Step 4: Simplify right side
    186,512.16x = 27,266,558,031.76
  5. Step 5: Solve for x
    x = 27,266,558,031.76/186,512.16
  6. Step 6: Final answer
    x = 146,191.85

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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.