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Finding the Fourth Proportional to 186,229.84, 257,003.01 and 105,660.76

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Solution

The fourth proportional to 186,229.84, 257,003.01 and 105,660.76 is: 145,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,229.84 : 257,003.01 = 105,660.76 : x
  2. Step 2: Convert to fraction form
    186,229.84/257,003.01 = 105,660.76/x
  3. Step 3: Cross multiply
    186,229.84x = 257,003.01 × 105,660.76
  4. Step 4: Simplify right side
    186,229.84x = 27,155,133,358.89
  5. Step 5: Solve for x
    x = 27,155,133,358.89/186,229.84
  6. Step 6: Final answer
    x = 145,815.16

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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.