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Finding the Fourth Proportional to 309,250.82, 463,904.58 and 96,019.94

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Solution

The fourth proportional to 309,250.82, 463,904.58 and 96,019.94 is: 144,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,250.82 : 463,904.58 = 96,019.94 : x
  2. Step 2: Convert to fraction form
    309,250.82/463,904.58 = 96,019.94/x
  3. Step 3: Cross multiply
    309,250.82x = 463,904.58 × 96,019.94
  4. Step 4: Simplify right side
    309,250.82x = 44,544,089,937.33
  5. Step 5: Solve for x
    x = 44,544,089,937.33/309,250.82
  6. Step 6: Final answer
    x = 144,038.71

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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.