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Finding the Fourth Proportional to 137,674.86, 206,533.89 and 58,789.50

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Solution

The fourth proportional to 137,674.86, 206,533.89 and 58,789.50 is: 88,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,674.86 : 206,533.89 = 58,789.50 : x
  2. Step 2: Convert to fraction form
    137,674.86/206,533.89 = 58,789.50/x
  3. Step 3: Cross multiply
    137,674.86x = 206,533.89 × 58,789.50
  4. Step 4: Simplify right side
    137,674.86x = 12,142,024,126.16
  5. Step 5: Solve for x
    x = 12,142,024,126.16/137,674.86
  6. Step 6: Final answer
    x = 88,193.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.