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Finding the Fourth Proportional to 111,913.84, 167,854.16 and 40,819.82

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Solution

The fourth proportional to 111,913.84, 167,854.16 and 40,819.82 is: 61,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,913.84 : 167,854.16 = 40,819.82 : x
  2. Step 2: Convert to fraction form
    111,913.84/167,854.16 = 40,819.82/x
  3. Step 3: Cross multiply
    111,913.84x = 167,854.16 × 40,819.82
  4. Step 4: Simplify right side
    111,913.84x = 6,851,776,597.45
  5. Step 5: Solve for x
    x = 6,851,776,597.45/111,913.84
  6. Step 6: Final answer
    x = 61,223.68

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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.