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Finding the Fourth Proportional to 137,111.86, 205,689.39 and 58,226.50

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Solution

The fourth proportional to 137,111.86, 205,689.39 and 58,226.50 is: 87,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,111.86 : 205,689.39 = 58,226.50 : x
  2. Step 2: Convert to fraction form
    137,111.86/205,689.39 = 58,226.50/x
  3. Step 3: Cross multiply
    137,111.86x = 205,689.39 × 58,226.50
  4. Step 4: Simplify right side
    137,111.86x = 11,976,573,266.84
  5. Step 5: Solve for x
    x = 11,976,573,266.84/137,111.86
  6. Step 6: Final answer
    x = 87,348.92

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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.