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Finding the Fourth Proportional to 119,014.98, 178,513.86 and 55,849.46

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Solution

The fourth proportional to 119,014.98, 178,513.86 and 55,849.46 is: 83,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,014.98 : 178,513.86 = 55,849.46 : x
  2. Step 2: Convert to fraction form
    119,014.98/178,513.86 = 55,849.46/x
  3. Step 3: Cross multiply
    119,014.98x = 178,513.86 × 55,849.46
  4. Step 4: Simplify right side
    119,014.98x = 9,969,902,683.52
  5. Step 5: Solve for x
    x = 9,969,902,683.52/119,014.98
  6. Step 6: Final answer
    x = 83,770.15

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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.