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Finding the Fourth Proportional to 142,337, 196,425.38 and 85,750.76

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Solution

The fourth proportional to 142,337, 196,425.38 and 85,750.76 is: 118,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,337 : 196,425.38 = 85,750.76 : x
  2. Step 2: Convert to fraction form
    142,337/196,425.38 = 85,750.76/x
  3. Step 3: Cross multiply
    142,337x = 196,425.38 × 85,750.76
  4. Step 4: Simplify right side
    142,337x = 16,843,625,618.29
  5. Step 5: Solve for x
    x = 16,843,625,618.29/142,337
  6. Step 6: Final answer
    x = 118,336.24

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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.