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Finding the Fourth Proportional to 472,725.21, 709,093.99 and 157,182.12

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Solution

The fourth proportional to 472,725.21, 709,093.99 and 157,182.12 is: 235,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,725.21 : 709,093.99 = 157,182.12 : x
  2. Step 2: Convert to fraction form
    472,725.21/709,093.99 = 157,182.12/x
  3. Step 3: Cross multiply
    472,725.21x = 709,093.99 × 157,182.12
  4. Step 4: Simplify right side
    472,725.21x = 111,456,892,296.08
  5. Step 5: Solve for x
    x = 111,456,892,296.08/472,725.21
  6. Step 6: Final answer
    x = 235,775.22

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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.