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Finding the Fourth Proportional to 186,504.13, 279,838.88 and 97,736.53

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Solution

The fourth proportional to 186,504.13, 279,838.88 and 97,736.53 is: 146,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,504.13 : 279,838.88 = 97,736.53 : x
  2. Step 2: Convert to fraction form
    186,504.13/279,838.88 = 97,736.53/x
  3. Step 3: Cross multiply
    186,504.13x = 279,838.88 × 97,736.53
  4. Step 4: Simplify right side
    186,504.13x = 27,350,481,342.98
  5. Step 5: Solve for x
    x = 27,350,481,342.98/186,504.13
  6. Step 6: Final answer
    x = 146,648.13

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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.