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Finding the Fourth Proportional to 614,589.26, 921,851.02 and 188,125.30

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Solution

The fourth proportional to 614,589.26, 921,851.02 and 188,125.30 is: 282,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,589.26 : 921,851.02 = 188,125.30 : x
  2. Step 2: Convert to fraction form
    614,589.26/921,851.02 = 188,125.30/x
  3. Step 3: Cross multiply
    614,589.26x = 921,851.02 × 188,125.30
  4. Step 4: Simplify right side
    614,589.26x = 173,423,496,917.87
  5. Step 5: Solve for x
    x = 173,423,496,917.87/614,589.26
  6. Step 6: Final answer
    x = 282,177.89

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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.