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Finding the Fourth Proportional to 472,195.94, 708,192.92 and 135,146.09

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Solution

The fourth proportional to 472,195.94, 708,192.92 and 135,146.09 is: 202,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,195.94 : 708,192.92 = 135,146.09 : x
  2. Step 2: Convert to fraction form
    472,195.94/708,192.92 = 135,146.09/x
  3. Step 3: Cross multiply
    472,195.94x = 708,192.92 × 135,146.09
  4. Step 4: Simplify right side
    472,195.94x = 95,709,506,212.03
  5. Step 5: Solve for x
    x = 95,709,506,212.03/472,195.94
  6. Step 6: Final answer
    x = 202,690.24

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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.