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Finding the Fourth Proportional to 309,083.94, 463,455.56 and 95,792.72

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Solution

The fourth proportional to 309,083.94, 463,455.56 and 95,792.72 is: 143,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,083.94 : 463,455.56 = 95,792.72 : x
  2. Step 2: Convert to fraction form
    309,083.94/463,455.56 = 95,792.72/x
  3. Step 3: Cross multiply
    309,083.94x = 463,455.56 × 95,792.72
  4. Step 4: Simplify right side
    309,083.94x = 44,395,665,895.28
  5. Step 5: Solve for x
    x = 44,395,665,895.28/309,083.94
  6. Step 6: Final answer
    x = 143,636.28

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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.