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Finding the Fourth Proportional to 137,903.72, 206,938.20 and 59,018.02

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Solution

The fourth proportional to 137,903.72, 206,938.20 and 59,018.02 is: 88,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,903.72 : 206,938.20 = 59,018.02 : x
  2. Step 2: Convert to fraction form
    137,903.72/206,938.20 = 59,018.02/x
  3. Step 3: Cross multiply
    137,903.72x = 206,938.20 × 59,018.02
  4. Step 4: Simplify right side
    137,903.72x = 12,213,082,826.36
  5. Step 5: Solve for x
    x = 12,213,082,826.36/137,903.72
  6. Step 6: Final answer
    x = 88,562.39

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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.