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Finding the Fourth Proportional to 186,524.28, 279,869.04 and 97,756.56

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Solution

The fourth proportional to 186,524.28, 279,869.04 and 97,756.56 is: 146,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,524.28 : 279,869.04 = 97,756.56 : x
  2. Step 2: Convert to fraction form
    186,524.28/279,869.04 = 97,756.56/x
  3. Step 3: Cross multiply
    186,524.28x = 279,869.04 × 97,756.56
  4. Step 4: Simplify right side
    186,524.28x = 27,359,034,600.90
  5. Step 5: Solve for x
    x = 27,359,034,600.90/186,524.28
  6. Step 6: Final answer
    x = 146,678.14

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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.