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Finding the Fourth Proportional to 111,838.40, 167,806.20 and 56,434.40

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Solution

The fourth proportional to 111,838.40, 167,806.20 and 56,434.40 is: 84,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,838.40 : 167,806.20 = 56,434.40 : x
  2. Step 2: Convert to fraction form
    111,838.40/167,806.20 = 56,434.40/x
  3. Step 3: Cross multiply
    111,838.40x = 167,806.20 × 56,434.40
  4. Step 4: Simplify right side
    111,838.40x = 9,470,042,213.28
  5. Step 5: Solve for x
    x = 9,470,042,213.28/111,838.40
  6. Step 6: Final answer
    x = 84,676.12

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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.