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Finding the Fourth Proportional to 472,131.23, 708,195.96 and 147,944.15

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Solution

The fourth proportional to 472,131.23, 708,195.96 and 147,944.15 is: 221,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,131.23 : 708,195.96 = 147,944.15 : x
  2. Step 2: Convert to fraction form
    472,131.23/708,195.96 = 147,944.15/x
  3. Step 3: Cross multiply
    472,131.23x = 708,195.96 × 147,944.15
  4. Step 4: Simplify right side
    472,131.23x = 104,773,445,794.65
  5. Step 5: Solve for x
    x = 104,773,445,794.65/472,131.23
  6. Step 6: Final answer
    x = 221,915.94

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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.