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Finding the Fourth Proportional to 259,903.46, 358,628.60 and 145,167.96

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Solution

The fourth proportional to 259,903.46, 358,628.60 and 145,167.96 is: 200,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.46 : 358,628.60 = 145,167.96 : x
  2. Step 2: Convert to fraction form
    259,903.46/358,628.60 = 145,167.96/x
  3. Step 3: Cross multiply
    259,903.46x = 358,628.60 × 145,167.96
  4. Step 4: Simplify right side
    259,903.46x = 52,061,381,533.82
  5. Step 5: Solve for x
    x = 52,061,381,533.82/259,903.46
  6. Step 6: Final answer
    x = 200,310.46

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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.