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Finding the Fourth Proportional to 263,394, 395,102.06 and 83,475.51

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Solution

The fourth proportional to 263,394, 395,102.06 and 83,475.51 is: 125,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,394 : 395,102.06 = 83,475.51 : x
  2. Step 2: Convert to fraction form
    263,394/395,102.06 = 83,475.51/x
  3. Step 3: Cross multiply
    263,394x = 395,102.06 × 83,475.51
  4. Step 4: Simplify right side
    263,394x = 32,981,345,543.17
  5. Step 5: Solve for x
    x = 32,981,345,543.17/263,394
  6. Step 6: Final answer
    x = 125,216.77

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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.