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Finding the Fourth Proportional to 97,204.50, 134,142.21 and 52,492.50

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Solution

The fourth proportional to 97,204.50, 134,142.21 and 52,492.50 is: 72,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204.50 : 134,142.21 = 52,492.50 : x
  2. Step 2: Convert to fraction form
    97,204.50/134,142.21 = 52,492.50/x
  3. Step 3: Cross multiply
    97,204.50x = 134,142.21 × 52,492.50
  4. Step 4: Simplify right side
    97,204.50x = 7,041,459,958.43
  5. Step 5: Solve for x
    x = 7,041,459,958.43/97,204.50
  6. Step 6: Final answer
    x = 72,439.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.