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Finding the Fourth Proportional to 191,984.03, 288,010.23 and 65,638.32

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Solution

The fourth proportional to 191,984.03, 288,010.23 and 65,638.32 is: 98,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,984.03 : 288,010.23 = 65,638.32 : x
  2. Step 2: Convert to fraction form
    191,984.03/288,010.23 = 65,638.32/x
  3. Step 3: Cross multiply
    191,984.03x = 288,010.23 × 65,638.32
  4. Step 4: Simplify right side
    191,984.03x = 18,904,507,311.82
  5. Step 5: Solve for x
    x = 18,904,507,311.82/191,984.03
  6. Step 6: Final answer
    x = 98,469.17

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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.