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Finding the Fourth Proportional to 472,199.94, 708,198.92 and 135,150.10

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Solution

The fourth proportional to 472,199.94, 708,198.92 and 135,150.10 is: 202,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,199.94 : 708,198.92 = 135,150.10 : x
  2. Step 2: Convert to fraction form
    472,199.94/708,198.92 = 135,150.10/x
  3. Step 3: Cross multiply
    472,199.94x = 708,198.92 × 135,150.10
  4. Step 4: Simplify right side
    472,199.94x = 95,713,154,857.89
  5. Step 5: Solve for x
    x = 95,713,154,857.89/472,199.94
  6. Step 6: Final answer
    x = 202,696.25

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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.