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Finding the Fourth Proportional to 198,348.60, 297,566.64 and 65,223.48

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Solution

The fourth proportional to 198,348.60, 297,566.64 and 65,223.48 is: 97,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,348.60 : 297,566.64 = 65,223.48 : x
  2. Step 2: Convert to fraction form
    198,348.60/297,566.64 = 65,223.48/x
  3. Step 3: Cross multiply
    198,348.60x = 297,566.64 × 65,223.48
  4. Step 4: Simplify right side
    198,348.60x = 19,408,331,792.71
  5. Step 5: Solve for x
    x = 19,408,331,792.71/198,348.60
  6. Step 6: Final answer
    x = 97,849.60

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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.