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Finding the Fourth Proportional to 309,153, 463,795.65 and 95,916.33

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Solution

The fourth proportional to 309,153, 463,795.65 and 95,916.33 is: 143,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,153 : 463,795.65 = 95,916.33 : x
  2. Step 2: Convert to fraction form
    309,153/463,795.65 = 95,916.33/x
  3. Step 3: Cross multiply
    309,153x = 463,795.65 × 95,916.33
  4. Step 4: Simplify right side
    309,153x = 44,485,576,617.96
  5. Step 5: Solve for x
    x = 44,485,576,617.96/309,153
  6. Step 6: Final answer
    x = 143,895.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.