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Finding the Fourth Proportional to 231,102.22, 346,431.87 and 97,799.06

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Solution

The fourth proportional to 231,102.22, 346,431.87 and 97,799.06 is: 146,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,102.22 : 346,431.87 = 97,799.06 : x
  2. Step 2: Convert to fraction form
    231,102.22/346,431.87 = 97,799.06/x
  3. Step 3: Cross multiply
    231,102.22x = 346,431.87 × 97,799.06
  4. Step 4: Simplify right side
    231,102.22x = 33,880,711,240.04
  5. Step 5: Solve for x
    x = 33,880,711,240.04/231,102.22
  6. Step 6: Final answer
    x = 146,604.87

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1.5x scale

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.