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Finding the Fourth Proportional to 186,495.40, 279,825.78 and 97,727.80

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Solution

The fourth proportional to 186,495.40, 279,825.78 and 97,727.80 is: 146,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,495.40 : 279,825.78 = 97,727.80 : x
  2. Step 2: Convert to fraction form
    186,495.40/279,825.78 = 97,727.80/x
  3. Step 3: Cross multiply
    186,495.40x = 279,825.78 × 97,727.80
  4. Step 4: Simplify right side
    186,495.40x = 27,346,757,862.68
  5. Step 5: Solve for x
    x = 27,346,757,862.68/186,495.40
  6. Step 6: Final answer
    x = 146,635.03

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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.