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Finding the Fourth Proportional to 117,771.98, 176,598.83 and 54,537.71

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Solution

The fourth proportional to 117,771.98, 176,598.83 and 54,537.71 is: 81,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,771.98 : 176,598.83 = 54,537.71 : x
  2. Step 2: Convert to fraction form
    117,771.98/176,598.83 = 54,537.71/x
  3. Step 3: Cross multiply
    117,771.98x = 176,598.83 × 54,537.71
  4. Step 4: Simplify right side
    117,771.98x = 9,631,295,030.23
  5. Step 5: Solve for x
    x = 9,631,295,030.23/117,771.98
  6. Step 6: Final answer
    x = 81,779.18

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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.