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Finding the Fourth Proportional to 307,207.82, 460,742.58 and 110,215.82

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Solution

The fourth proportional to 307,207.82, 460,742.58 and 110,215.82 is: 165,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,207.82 : 460,742.58 = 110,215.82 : x
  2. Step 2: Convert to fraction form
    307,207.82/460,742.58 = 110,215.82/x
  3. Step 3: Cross multiply
    307,207.82x = 460,742.58 × 110,215.82
  4. Step 4: Simplify right side
    307,207.82x = 50,781,121,263.62
  5. Step 5: Solve for x
    x = 50,781,121,263.62/307,207.82
  6. Step 6: Final answer
    x = 165,298.92

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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.