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Finding the Fourth Proportional to 104,384.80, 156,346.80 and 42,023.20

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Solution

The fourth proportional to 104,384.80, 156,346.80 and 42,023.20 is: 62,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,384.80 : 156,346.80 = 42,023.20 : x
  2. Step 2: Convert to fraction form
    104,384.80/156,346.80 = 42,023.20/x
  3. Step 3: Cross multiply
    104,384.80x = 156,346.80 × 42,023.20
  4. Step 4: Simplify right side
    104,384.80x = 6,570,192,845.76
  5. Step 5: Solve for x
    x = 6,570,192,845.76/104,384.80
  6. Step 6: Final answer
    x = 62,942.05

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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.