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Finding the Fourth Proportional to 198,002.10, 296,893.80 and 64,813.80

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Solution

The fourth proportional to 198,002.10, 296,893.80 and 64,813.80 is: 97,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,002.10 : 296,893.80 = 64,813.80 : x
  2. Step 2: Convert to fraction form
    198,002.10/296,893.80 = 64,813.80/x
  3. Step 3: Cross multiply
    198,002.10x = 296,893.80 × 64,813.80
  4. Step 4: Simplify right side
    198,002.10x = 19,242,815,374.44
  5. Step 5: Solve for x
    x = 19,242,815,374.44/198,002.10
  6. Step 6: Final answer
    x = 97,184.91

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1.5x scale

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.