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Finding the Fourth Proportional to 616,853.88, 925,271.10 and 196,123.68

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Solution

The fourth proportional to 616,853.88, 925,271.10 and 196,123.68 is: 294,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,853.88 : 925,271.10 = 196,123.68 : x
  2. Step 2: Convert to fraction form
    616,853.88/925,271.10 = 196,123.68/x
  3. Step 3: Cross multiply
    616,853.88x = 925,271.10 × 196,123.68
  4. Step 4: Simplify right side
    616,853.88x = 181,467,573,129.65
  5. Step 5: Solve for x
    x = 181,467,573,129.65/616,853.88
  6. Step 6: Final answer
    x = 294,182.43

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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.