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Finding the Fourth Proportional to 309,143.40, 463,629.45 and 109,437.54

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Solution

The fourth proportional to 309,143.40, 463,629.45 and 109,437.54 is: 164,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,143.40 : 463,629.45 = 109,437.54 : x
  2. Step 2: Convert to fraction form
    309,143.40/463,629.45 = 109,437.54/x
  3. Step 3: Cross multiply
    309,143.40x = 463,629.45 × 109,437.54
  4. Step 4: Simplify right side
    309,143.40x = 50,738,466,479.55
  5. Step 5: Solve for x
    x = 50,738,466,479.55/309,143.40
  6. Step 6: Final answer
    x = 164,125.99

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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.