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Finding the Fourth Proportional to 309,077.69, 463,682.85 and 95,841.02

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Solution

The fourth proportional to 309,077.69, 463,682.85 and 95,841.02 is: 143,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,077.69 : 463,682.85 = 95,841.02 : x
  2. Step 2: Convert to fraction form
    309,077.69/463,682.85 = 95,841.02/x
  3. Step 3: Cross multiply
    309,077.69x = 463,682.85 × 95,841.02
  4. Step 4: Simplify right side
    309,077.69x = 44,439,839,478.63
  5. Step 5: Solve for x
    x = 44,439,839,478.63/309,077.69
  6. Step 6: Final answer
    x = 143,782.10

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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.