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Finding the Fourth Proportional to 117,802.10, 176,644.02 and 54,567.84

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Solution

The fourth proportional to 117,802.10, 176,644.02 and 54,567.84 is: 81,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,802.10 : 176,644.02 = 54,567.84 : x
  2. Step 2: Convert to fraction form
    117,802.10/176,644.02 = 54,567.84/x
  3. Step 3: Cross multiply
    117,802.10x = 176,644.02 × 54,567.84
  4. Step 4: Simplify right side
    117,802.10x = 9,639,082,620.32
  5. Step 5: Solve for x
    x = 9,639,082,620.32/117,802.10
  6. Step 6: Final answer
    x = 81,824.37

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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.