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Finding the Fourth Proportional to 289,358.38, 434,066.51 and 99,793.79

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Solution

The fourth proportional to 289,358.38, 434,066.51 and 99,793.79 is: 149,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,358.38 : 434,066.51 = 99,793.79 : x
  2. Step 2: Convert to fraction form
    289,358.38/434,066.51 = 99,793.79/x
  3. Step 3: Cross multiply
    289,358.38x = 434,066.51 × 99,793.79
  4. Step 4: Simplify right side
    289,358.38x = 43,317,142,144.97
  5. Step 5: Solve for x
    x = 43,317,142,144.97/289,358.38
  6. Step 6: Final answer
    x = 149,700.67

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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.