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Finding the Fourth Proportional to 198,503.48, 297,750.30 and 48,742.52

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Solution

The fourth proportional to 198,503.48, 297,750.30 and 48,742.52 is: 73,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,503.48 : 297,750.30 = 48,742.52 : x
  2. Step 2: Convert to fraction form
    198,503.48/297,750.30 = 48,742.52/x
  3. Step 3: Cross multiply
    198,503.48x = 297,750.30 × 48,742.52
  4. Step 4: Simplify right side
    198,503.48x = 14,513,099,952.76
  5. Step 5: Solve for x
    x = 14,513,099,952.76/198,503.48
  6. Step 6: Final answer
    x = 73,112.57

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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.