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Finding the Fourth Proportional to 117,955.31, 176,077.76 and 109,174.85

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Solution

The fourth proportional to 117,955.31, 176,077.76 and 109,174.85 is: 162,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,955.31 : 176,077.76 = 109,174.85 : x
  2. Step 2: Convert to fraction form
    117,955.31/176,077.76 = 109,174.85/x
  3. Step 3: Cross multiply
    117,955.31x = 176,077.76 × 109,174.85
  4. Step 4: Simplify right side
    117,955.31x = 19,223,261,610.07
  5. Step 5: Solve for x
    x = 19,223,261,610.07/117,955.31
  6. Step 6: Final answer
    x = 162,970.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.