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Finding the Fourth Proportional to 307,765.40, 460,797.89 and 157,682.52

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Solution

The fourth proportional to 307,765.40, 460,797.89 and 157,682.52 is: 236,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,765.40 : 460,797.89 = 157,682.52 : x
  2. Step 2: Convert to fraction form
    307,765.40/460,797.89 = 157,682.52/x
  3. Step 3: Cross multiply
    307,765.40x = 460,797.89 × 157,682.52
  4. Step 4: Simplify right side
    307,765.40x = 72,659,771,717.47
  5. Step 5: Solve for x
    x = 72,659,771,717.47/307,765.40
  6. Step 6: Final answer
    x = 236,088.18

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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.