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Finding the Fourth Proportional to 119,053.85, 178,584.89 and 59,857.25

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Solution

The fourth proportional to 119,053.85, 178,584.89 and 59,857.25 is: 89,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,053.85 : 178,584.89 = 59,857.25 : x
  2. Step 2: Convert to fraction form
    119,053.85/178,584.89 = 59,857.25/x
  3. Step 3: Cross multiply
    119,053.85x = 178,584.89 × 59,857.25
  4. Step 4: Simplify right side
    119,053.85x = 10,689,599,214.74
  5. Step 5: Solve for x
    x = 10,689,599,214.74/119,053.85
  6. Step 6: Final answer
    x = 89,787.94

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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.