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Finding the Fourth Proportional to 109,197.66, 163,720.49 and 48,374.90

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Solution

The fourth proportional to 109,197.66, 163,720.49 and 48,374.90 is: 72,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,197.66 : 163,720.49 = 48,374.90 : x
  2. Step 2: Convert to fraction form
    109,197.66/163,720.49 = 48,374.90/x
  3. Step 3: Cross multiply
    109,197.66x = 163,720.49 × 48,374.90
  4. Step 4: Simplify right side
    109,197.66x = 7,919,961,513.10
  5. Step 5: Solve for x
    x = 7,919,961,513.10/109,197.66
  6. Step 6: Final answer
    x = 72,528.67

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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.