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Finding the Fourth Proportional to 97,466.70, 146,200.05 and 82,260.30

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Solution

The fourth proportional to 97,466.70, 146,200.05 and 82,260.30 is: 123,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466.70 : 146,200.05 = 82,260.30 : x
  2. Step 2: Convert to fraction form
    97,466.70/146,200.05 = 82,260.30/x
  3. Step 3: Cross multiply
    97,466.70x = 146,200.05 × 82,260.30
  4. Step 4: Simplify right side
    97,466.70x = 12,026,459,973.02
  5. Step 5: Solve for x
    x = 12,026,459,973.02/97,466.70
  6. Step 6: Final answer
    x = 123,390.45

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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.