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Finding the Fourth Proportional to 186,546.36, 257,425.80 and 105,973.56

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Solution

The fourth proportional to 186,546.36, 257,425.80 and 105,973.56 is: 146,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,546.36 : 257,425.80 = 105,973.56 : x
  2. Step 2: Convert to fraction form
    186,546.36/257,425.80 = 105,973.56/x
  3. Step 3: Cross multiply
    186,546.36x = 257,425.80 × 105,973.56
  4. Step 4: Simplify right side
    186,546.36x = 27,280,328,461.85
  5. Step 5: Solve for x
    x = 27,280,328,461.85/186,546.36
  6. Step 6: Final answer
    x = 146,238.87

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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.