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Finding the Fourth Proportional to 309,251.06, 463,730.36 and 119,800.16

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Solution

The fourth proportional to 309,251.06, 463,730.36 and 119,800.16 is: 179,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,251.06 : 463,730.36 = 119,800.16 : x
  2. Step 2: Convert to fraction form
    309,251.06/463,730.36 = 119,800.16/x
  3. Step 3: Cross multiply
    309,251.06x = 463,730.36 × 119,800.16
  4. Step 4: Simplify right side
    309,251.06x = 55,554,971,324.86
  5. Step 5: Solve for x
    x = 55,554,971,324.86/309,251.06
  6. Step 6: Final answer
    x = 179,643.59

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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.