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Finding the Fourth Proportional to 128,846.60, 192,978.30 and 81,607.40

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Solution

The fourth proportional to 128,846.60, 192,978.30 and 81,607.40 is: 122,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846.60 : 192,978.30 = 81,607.40 : x
  2. Step 2: Convert to fraction form
    128,846.60/192,978.30 = 81,607.40/x
  3. Step 3: Cross multiply
    128,846.60x = 192,978.30 × 81,607.40
  4. Step 4: Simplify right side
    128,846.60x = 15,748,457,319.42
  5. Step 5: Solve for x
    x = 15,748,457,319.42/128,846.60
  6. Step 6: Final answer
    x = 122,226.41

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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.