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Finding the Fourth Proportional to 186,593.16, 279,824.94 and 61,905

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Solution

The fourth proportional to 186,593.16, 279,824.94 and 61,905 is: 92,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,593.16 : 279,824.94 = 61,905 : x
  2. Step 2: Convert to fraction form
    186,593.16/279,824.94 = 61,905/x
  3. Step 3: Cross multiply
    186,593.16x = 279,824.94 × 61,905
  4. Step 4: Simplify right side
    186,593.16x = 17,322,562,910.70
  5. Step 5: Solve for x
    x = 17,322,562,910.70/186,593.16
  6. Step 6: Final answer
    x = 92,836.00

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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.