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Finding the Fourth Proportional to 215,911.70, 323,770.35 and 97,522.10

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Solution

The fourth proportional to 215,911.70, 323,770.35 and 97,522.10 is: 146,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,911.70 : 323,770.35 = 97,522.10 : x
  2. Step 2: Convert to fraction form
    215,911.70/323,770.35 = 97,522.10/x
  3. Step 3: Cross multiply
    215,911.70x = 323,770.35 × 97,522.10
  4. Step 4: Simplify right side
    215,911.70x = 31,574,764,449.74
  5. Step 5: Solve for x
    x = 31,574,764,449.74/215,911.70
  6. Step 6: Final answer
    x = 146,239.25

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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.