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Finding the Fourth Proportional to 186,735.78, 279,960.10 and 96,681.94

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Solution

The fourth proportional to 186,735.78, 279,960.10 and 96,681.94 is: 144,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735.78 : 279,960.10 = 96,681.94 : x
  2. Step 2: Convert to fraction form
    186,735.78/279,960.10 = 96,681.94/x
  3. Step 3: Cross multiply
    186,735.78x = 279,960.10 × 96,681.94
  4. Step 4: Simplify right side
    186,735.78x = 27,067,084,648.99
  5. Step 5: Solve for x
    x = 27,067,084,648.99/186,735.78
  6. Step 6: Final answer
    x = 144,948.57

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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.