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Finding the Fourth Proportional to 198,697.14, 298,054.80 and 65,588.94

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Solution

The fourth proportional to 198,697.14, 298,054.80 and 65,588.94 is: 98,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697.14 : 298,054.80 = 65,588.94 : x
  2. Step 2: Convert to fraction form
    198,697.14/298,054.80 = 65,588.94/x
  3. Step 3: Cross multiply
    198,697.14x = 298,054.80 × 65,588.94
  4. Step 4: Simplify right side
    198,697.14x = 19,549,098,393.91
  5. Step 5: Solve for x
    x = 19,549,098,393.91/198,697.14
  6. Step 6: Final answer
    x = 98,386.41

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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.