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Finding the Fourth Proportional to 261,992.36, 392,659.86 and 112,056.68

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Solution

The fourth proportional to 261,992.36, 392,659.86 and 112,056.68 is: 167,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,992.36 : 392,659.86 = 112,056.68 : x
  2. Step 2: Convert to fraction form
    261,992.36/392,659.86 = 112,056.68/x
  3. Step 3: Cross multiply
    261,992.36x = 392,659.86 × 112,056.68
  4. Step 4: Simplify right side
    261,992.36x = 44,000,160,280.86
  5. Step 5: Solve for x
    x = 44,000,160,280.86/261,992.36
  6. Step 6: Final answer
    x = 167,944.44

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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.