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Finding the Fourth Proportional to 219,899.76, 303,462.44 and 119,298.48

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Solution

The fourth proportional to 219,899.76, 303,462.44 and 119,298.48 is: 164,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,899.76 : 303,462.44 = 119,298.48 : x
  2. Step 2: Convert to fraction form
    219,899.76/303,462.44 = 119,298.48/x
  3. Step 3: Cross multiply
    219,899.76x = 303,462.44 × 119,298.48
  4. Step 4: Simplify right side
    219,899.76x = 36,202,607,829.09
  5. Step 5: Solve for x
    x = 36,202,607,829.09/219,899.76
  6. Step 6: Final answer
    x = 164,632.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.