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Finding the Fourth Proportional to 309,722.96, 464,627.64 and 99,425.36

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Solution

The fourth proportional to 309,722.96, 464,627.64 and 99,425.36 is: 149,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,722.96 : 464,627.64 = 99,425.36 : x
  2. Step 2: Convert to fraction form
    309,722.96/464,627.64 = 99,425.36/x
  3. Step 3: Cross multiply
    309,722.96x = 464,627.64 × 99,425.36
  4. Step 4: Simplify right side
    309,722.96x = 46,195,768,049.81
  5. Step 5: Solve for x
    x = 46,195,768,049.81/309,722.96
  6. Step 6: Final answer
    x = 149,151.90

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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.