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Finding the Fourth Proportional to 185,400, 255,886.56 and 105,912

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Solution

The fourth proportional to 185,400, 255,886.56 and 105,912 is: 146,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,400 : 255,886.56 = 105,912 : x
  2. Step 2: Convert to fraction form
    185,400/255,886.56 = 105,912/x
  3. Step 3: Cross multiply
    185,400x = 255,886.56 × 105,912
  4. Step 4: Simplify right side
    185,400x = 27,101,457,342.72
  5. Step 5: Solve for x
    x = 27,101,457,342.72/185,400
  6. Step 6: Final answer
    x = 146,178.30

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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.