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Finding the Fourth Proportional to 231,492.66, 347,150.70 and 81,705.03

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Solution

The fourth proportional to 231,492.66, 347,150.70 and 81,705.03 is: 122,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,492.66 : 347,150.70 = 81,705.03 : x
  2. Step 2: Convert to fraction form
    231,492.66/347,150.70 = 81,705.03/x
  3. Step 3: Cross multiply
    231,492.66x = 347,150.70 × 81,705.03
  4. Step 4: Simplify right side
    231,492.66x = 28,363,958,358.02
  5. Step 5: Solve for x
    x = 28,363,958,358.02/231,492.66
  6. Step 6: Final answer
    x = 122,526.38

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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.