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Finding the Fourth Proportional to 198,602.33, 297,809.64 and 72,154.40

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Solution

The fourth proportional to 198,602.33, 297,809.64 and 72,154.40 is: 108,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,602.33 : 297,809.64 = 72,154.40 : x
  2. Step 2: Convert to fraction form
    198,602.33/297,809.64 = 72,154.40/x
  3. Step 3: Cross multiply
    198,602.33x = 297,809.64 × 72,154.40
  4. Step 4: Simplify right side
    198,602.33x = 21,488,275,888.42
  5. Step 5: Solve for x
    x = 21,488,275,888.42/198,602.33
  6. Step 6: Final answer
    x = 108,197.50

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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.