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Finding the Fourth Proportional to 186,205.76, 279,352.38 and 61,546.76

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Solution

The fourth proportional to 186,205.76, 279,352.38 and 61,546.76 is: 92,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,205.76 : 279,352.38 = 61,546.76 : x
  2. Step 2: Convert to fraction form
    186,205.76/279,352.38 = 61,546.76/x
  3. Step 3: Cross multiply
    186,205.76x = 279,352.38 × 61,546.76
  4. Step 4: Simplify right side
    186,205.76x = 17,193,233,887.29
  5. Step 5: Solve for x
    x = 17,193,233,887.29/186,205.76
  6. Step 6: Final answer
    x = 92,334.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.