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Finding the Fourth Proportional to 216,422.38, 298,657.15 and 120,929.86

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Solution

The fourth proportional to 216,422.38, 298,657.15 and 120,929.86 is: 166,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422.38 : 298,657.15 = 120,929.86 : x
  2. Step 2: Convert to fraction form
    216,422.38/298,657.15 = 120,929.86/x
  3. Step 3: Cross multiply
    216,422.38x = 298,657.15 × 120,929.86
  4. Step 4: Simplify right side
    216,422.38x = 36,116,567,337.50
  5. Step 5: Solve for x
    x = 36,116,567,337.50/216,422.38
  6. Step 6: Final answer
    x = 166,880.00

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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.