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Finding the Fourth Proportional to 104,543.54, 156,814.35 and 42,213.14

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Solution

The fourth proportional to 104,543.54, 156,814.35 and 42,213.14 is: 63,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,543.54 : 156,814.35 = 42,213.14 : x
  2. Step 2: Convert to fraction form
    104,543.54/156,814.35 = 42,213.14/x
  3. Step 3: Cross multiply
    104,543.54x = 156,814.35 × 42,213.14
  4. Step 4: Simplify right side
    104,543.54x = 6,619,626,110.56
  5. Step 5: Solve for x
    x = 6,619,626,110.56/104,543.54
  6. Step 6: Final answer
    x = 63,319.32

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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.