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Finding the Fourth Proportional to 129,992.86, 194,989.35 and 46,886.86

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Solution

The fourth proportional to 129,992.86, 194,989.35 and 46,886.86 is: 70,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,992.86 : 194,989.35 = 46,886.86 : x
  2. Step 2: Convert to fraction form
    129,992.86/194,989.35 = 46,886.86/x
  3. Step 3: Cross multiply
    129,992.86x = 194,989.35 × 46,886.86
  4. Step 4: Simplify right side
    129,992.86x = 9,142,438,354.94
  5. Step 5: Solve for x
    x = 9,142,438,354.94/129,992.86
  6. Step 6: Final answer
    x = 70,330.31

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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.