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Finding the Fourth Proportional to 198,124.84, 297,261.24 and 79,829.74

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Solution

The fourth proportional to 198,124.84, 297,261.24 and 79,829.74 is: 119,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,124.84 : 297,261.24 = 79,829.74 : x
  2. Step 2: Convert to fraction form
    198,124.84/297,261.24 = 79,829.74/x
  3. Step 3: Cross multiply
    198,124.84x = 297,261.24 × 79,829.74
  4. Step 4: Simplify right side
    198,124.84x = 23,730,287,501.28
  5. Step 5: Solve for x
    x = 23,730,287,501.28/198,124.84
  6. Step 6: Final answer
    x = 119,774.42

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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.