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Finding the Fourth Proportional to 295,956.27, 443,938.50 and 96,277.69

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Solution

The fourth proportional to 295,956.27, 443,938.50 and 96,277.69 is: 144,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,956.27 : 443,938.50 = 96,277.69 : x
  2. Step 2: Convert to fraction form
    295,956.27/443,938.50 = 96,277.69/x
  3. Step 3: Cross multiply
    295,956.27x = 443,938.50 × 96,277.69
  4. Step 4: Simplify right side
    295,956.27x = 42,741,373,282.07
  5. Step 5: Solve for x
    x = 42,741,373,282.07/295,956.27
  6. Step 6: Final answer
    x = 144,417.87

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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.