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Finding the Fourth Proportional to 198,293.86, 297,459.42 and 65,174.41

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Solution

The fourth proportional to 198,293.86, 297,459.42 and 65,174.41 is: 97,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,293.86 : 297,459.42 = 65,174.41 : x
  2. Step 2: Convert to fraction form
    198,293.86/297,459.42 = 65,174.41/x
  3. Step 3: Cross multiply
    198,293.86x = 297,459.42 × 65,174.41
  4. Step 4: Simplify right side
    198,293.86x = 19,386,742,197.44
  5. Step 5: Solve for x
    x = 19,386,742,197.44/198,293.86
  6. Step 6: Final answer
    x = 97,767.74

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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.