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Finding the Fourth Proportional to 475,793.52, 713,620.56 and 138,743.64

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Solution

The fourth proportional to 475,793.52, 713,620.56 and 138,743.64 is: 208,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,793.52 : 713,620.56 = 138,743.64 : x
  2. Step 2: Convert to fraction form
    475,793.52/713,620.56 = 138,743.64/x
  3. Step 3: Cross multiply
    475,793.52x = 713,620.56 × 138,743.64
  4. Step 4: Simplify right side
    475,793.52x = 99,010,314,073.24
  5. Step 5: Solve for x
    x = 99,010,314,073.24/475,793.52
  6. Step 6: Final answer
    x = 208,095.13

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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.