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Finding the Fourth Proportional to 198,341.63, 297,522.01 and 65,218.94

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Solution

The fourth proportional to 198,341.63, 297,522.01 and 65,218.94 is: 97,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,341.63 : 297,522.01 = 65,218.94 : x
  2. Step 2: Convert to fraction form
    198,341.63/297,522.01 = 65,218.94/x
  3. Step 3: Cross multiply
    198,341.63x = 297,522.01 × 65,218.94
  4. Step 4: Simplify right side
    198,341.63x = 19,404,070,118.87
  5. Step 5: Solve for x
    x = 19,404,070,118.87/198,341.63
  6. Step 6: Final answer
    x = 97,831.56

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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.