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Finding the Fourth Proportional to 186,562.86, 279,926.73 and 97,795.14

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Solution

The fourth proportional to 186,562.86, 279,926.73 and 97,795.14 is: 146,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,562.86 : 279,926.73 = 97,795.14 : x
  2. Step 2: Convert to fraction form
    186,562.86/279,926.73 = 97,795.14/x
  3. Step 3: Cross multiply
    186,562.86x = 279,926.73 × 97,795.14
  4. Step 4: Simplify right side
    186,562.86x = 27,375,473,750.09
  5. Step 5: Solve for x
    x = 27,375,473,750.09/186,562.86
  6. Step 6: Final answer
    x = 146,735.92

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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.