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Finding the Fourth Proportional to 186,100.64, 256,877.33 and 105,581.68

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Solution

The fourth proportional to 186,100.64, 256,877.33 and 105,581.68 is: 145,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,100.64 : 256,877.33 = 105,581.68 : x
  2. Step 2: Convert to fraction form
    186,100.64/256,877.33 = 105,581.68/x
  3. Step 3: Cross multiply
    186,100.64x = 256,877.33 × 105,581.68
  4. Step 4: Simplify right side
    186,100.64x = 27,121,538,885.21
  5. Step 5: Solve for x
    x = 27,121,538,885.21/186,100.64
  6. Step 6: Final answer
    x = 145,735.87

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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.