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Finding the Fourth Proportional to 266,854.86, 368,199.42 and 159,403.86

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Solution

The fourth proportional to 266,854.86, 368,199.42 and 159,403.86 is: 219,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,854.86 : 368,199.42 = 159,403.86 : x
  2. Step 2: Convert to fraction form
    266,854.86/368,199.42 = 159,403.86/x
  3. Step 3: Cross multiply
    266,854.86x = 368,199.42 × 159,403.86
  4. Step 4: Simplify right side
    266,854.86x = 58,692,408,797.76
  5. Step 5: Solve for x
    x = 58,692,408,797.76/266,854.86
  6. Step 6: Final answer
    x = 219,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.