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Finding the Fourth Proportional to 117,823.80, 176,735.70 and 75,833.40

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Solution

The fourth proportional to 117,823.80, 176,735.70 and 75,833.40 is: 113,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,823.80 : 176,735.70 = 75,833.40 : x
  2. Step 2: Convert to fraction form
    117,823.80/176,735.70 = 75,833.40/x
  3. Step 3: Cross multiply
    117,823.80x = 176,735.70 × 75,833.40
  4. Step 4: Simplify right side
    117,823.80x = 13,402,469,032.38
  5. Step 5: Solve for x
    x = 13,402,469,032.38/117,823.80
  6. Step 6: Final answer
    x = 113,750.10

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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.