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Finding the Fourth Proportional to 215,733.40, 323,523.30 and 97,461.40

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Solution

The fourth proportional to 215,733.40, 323,523.30 and 97,461.40 is: 146,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,733.40 : 323,523.30 = 97,461.40 : x
  2. Step 2: Convert to fraction form
    215,733.40/323,523.30 = 97,461.40/x
  3. Step 3: Cross multiply
    215,733.40x = 323,523.30 × 97,461.40
  4. Step 4: Simplify right side
    215,733.40x = 31,531,033,750.62
  5. Step 5: Solve for x
    x = 31,531,033,750.62/215,733.40
  6. Step 6: Final answer
    x = 146,157.40

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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.