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Finding the Fourth Proportional to 104,703.76, 156,996.05 and 71,464.10

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Solution

The fourth proportional to 104,703.76, 156,996.05 and 71,464.10 is: 107,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,703.76 : 156,996.05 = 71,464.10 : x
  2. Step 2: Convert to fraction form
    104,703.76/156,996.05 = 71,464.10/x
  3. Step 3: Cross multiply
    104,703.76x = 156,996.05 × 71,464.10
  4. Step 4: Simplify right side
    104,703.76x = 11,219,580,274.50
  5. Step 5: Solve for x
    x = 11,219,580,274.50/104,703.76
  6. Step 6: Final answer
    x = 107,155.47

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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.