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Finding the Fourth Proportional to 378,045.90, 567,068.85 and 97,563.15

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Solution

The fourth proportional to 378,045.90, 567,068.85 and 97,563.15 is: 146,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.90 : 567,068.85 = 97,563.15 : x
  2. Step 2: Convert to fraction form
    378,045.90/567,068.85 = 97,563.15/x
  3. Step 3: Cross multiply
    378,045.90x = 567,068.85 × 97,563.15
  4. Step 4: Simplify right side
    378,045.90x = 55,325,023,272.88
  5. Step 5: Solve for x
    x = 55,325,023,272.88/378,045.90
  6. Step 6: Final answer
    x = 146,344.73

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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.