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Finding the Fourth Proportional to 198,205.60, 297,344.40 and 65,048.80

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Solution

The fourth proportional to 198,205.60, 297,344.40 and 65,048.80 is: 97,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.60 : 297,344.40 = 65,048.80 : x
  2. Step 2: Convert to fraction form
    198,205.60/297,344.40 = 65,048.80/x
  3. Step 3: Cross multiply
    198,205.60x = 297,344.40 × 65,048.80
  4. Step 4: Simplify right side
    198,205.60x = 19,341,896,406.72
  5. Step 5: Solve for x
    x = 19,341,896,406.72/198,205.60
  6. Step 6: Final answer
    x = 97,585.01

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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.