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Finding the Fourth Proportional to 472,229.37, 708,135.06 and 135,193.23

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Solution

The fourth proportional to 472,229.37, 708,135.06 and 135,193.23 is: 202,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,229.37 : 708,135.06 = 135,193.23 : x
  2. Step 2: Convert to fraction form
    472,229.37/708,135.06 = 135,193.23/x
  3. Step 3: Cross multiply
    472,229.37x = 708,135.06 × 135,193.23
  4. Step 4: Simplify right side
    472,229.37x = 95,735,066,037.64
  5. Step 5: Solve for x
    x = 95,735,066,037.64/472,229.37
  6. Step 6: Final answer
    x = 202,730.01

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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.