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Finding the Fourth Proportional to 107,203.64, 147,938.82 and 59,449.28

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Solution

The fourth proportional to 107,203.64, 147,938.82 and 59,449.28 is: 82,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,203.64 : 147,938.82 = 59,449.28 : x
  2. Step 2: Convert to fraction form
    107,203.64/147,938.82 = 59,449.28/x
  3. Step 3: Cross multiply
    107,203.64x = 147,938.82 × 59,449.28
  4. Step 4: Simplify right side
    107,203.64x = 8,794,856,333.05
  5. Step 5: Solve for x
    x = 8,794,856,333.05/107,203.64
  6. Step 6: Final answer
    x = 82,038.78

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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.