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Finding the Fourth Proportional to 309,495.16, 464,203.18 and 119,825.76

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Solution

The fourth proportional to 309,495.16, 464,203.18 and 119,825.76 is: 179,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,495.16 : 464,203.18 = 119,825.76 : x
  2. Step 2: Convert to fraction form
    309,495.16/464,203.18 = 119,825.76/x
  3. Step 3: Cross multiply
    309,495.16x = 464,203.18 × 119,825.76
  4. Step 4: Simplify right side
    309,495.16x = 55,623,498,837.92
  5. Step 5: Solve for x
    x = 55,623,498,837.92/309,495.16
  6. Step 6: Final answer
    x = 179,723.32

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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.