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Finding the Fourth Proportional to 186,460.68, 257,334.33 and 113,859.57

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Solution

The fourth proportional to 186,460.68, 257,334.33 and 113,859.57 is: 157,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,460.68 : 257,334.33 = 113,859.57 : x
  2. Step 2: Convert to fraction form
    186,460.68/257,334.33 = 113,859.57/x
  3. Step 3: Cross multiply
    186,460.68x = 257,334.33 × 113,859.57
  4. Step 4: Simplify right side
    186,460.68x = 29,299,976,160.04
  5. Step 5: Solve for x
    x = 29,299,976,160.04/186,460.68
  6. Step 6: Final answer
    x = 157,137.56

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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.