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Finding the Fourth Proportional to 198,437.77, 297,697.65 and 65,326.03

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Solution

The fourth proportional to 198,437.77, 297,697.65 and 65,326.03 is: 98,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,437.77 : 297,697.65 = 65,326.03 : x
  2. Step 2: Convert to fraction form
    198,437.77/297,697.65 = 65,326.03/x
  3. Step 3: Cross multiply
    198,437.77x = 297,697.65 × 65,326.03
  4. Step 4: Simplify right side
    198,437.77x = 19,447,405,614.83
  5. Step 5: Solve for x
    x = 19,447,405,614.83/198,437.77
  6. Step 6: Final answer
    x = 98,002.54

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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.