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Finding the Fourth Proportional to 309,164.48, 463,813.12 and 95,928

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Solution

The fourth proportional to 309,164.48, 463,813.12 and 95,928 is: 143,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,164.48 : 463,813.12 = 95,928 : x
  2. Step 2: Convert to fraction form
    309,164.48/463,813.12 = 95,928/x
  3. Step 3: Cross multiply
    309,164.48x = 463,813.12 × 95,928
  4. Step 4: Simplify right side
    309,164.48x = 44,492,664,975.36
  5. Step 5: Solve for x
    x = 44,492,664,975.36/309,164.48
  6. Step 6: Final answer
    x = 143,912.60

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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.