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Finding the Fourth Proportional to 309,129.25, 463,722.24 and 95,898.81

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Solution

The fourth proportional to 309,129.25, 463,722.24 and 95,898.81 is: 143,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,129.25 : 463,722.24 = 95,898.81 : x
  2. Step 2: Convert to fraction form
    309,129.25/463,722.24 = 95,898.81/x
  3. Step 3: Cross multiply
    309,129.25x = 463,722.24 × 95,898.81
  4. Step 4: Simplify right side
    309,129.25x = 44,470,410,986.53
  5. Step 5: Solve for x
    x = 44,470,410,986.53/309,129.25
  6. Step 6: Final answer
    x = 143,857.01

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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.