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Finding the Fourth Proportional to 216,421.38, 298,655.78 and 120,928.86

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Solution

The fourth proportional to 216,421.38, 298,655.78 and 120,928.86 is: 166,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,421.38 : 298,655.78 = 120,928.86 : x
  2. Step 2: Convert to fraction form
    216,421.38/298,655.78 = 120,928.86/x
  3. Step 3: Cross multiply
    216,421.38x = 298,655.78 × 120,928.86
  4. Step 4: Simplify right side
    216,421.38x = 36,116,102,403.17
  5. Step 5: Solve for x
    x = 36,116,102,403.17/216,421.38
  6. Step 6: Final answer
    x = 166,878.63

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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.