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Finding the Fourth Proportional to 128,511.74, 177,426.59 and 82,590

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Solution

The fourth proportional to 128,511.74, 177,426.59 and 82,590 is: 114,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,511.74 : 177,426.59 = 82,590 : x
  2. Step 2: Convert to fraction form
    128,511.74/177,426.59 = 82,590/x
  3. Step 3: Cross multiply
    128,511.74x = 177,426.59 × 82,590
  4. Step 4: Simplify right side
    128,511.74x = 14,653,661,655.15
  5. Step 5: Solve for x
    x = 14,653,661,655.15/128,511.74
  6. Step 6: Final answer
    x = 114,025.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.