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Finding the Fourth Proportional to 117,120.48, 175,469.31 and 98,516.40

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Solution

The fourth proportional to 117,120.48, 175,469.31 and 98,516.40 is: 147,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,120.48 : 175,469.31 = 98,516.40 : x
  2. Step 2: Convert to fraction form
    117,120.48/175,469.31 = 98,516.40/x
  3. Step 3: Cross multiply
    117,120.48x = 175,469.31 × 98,516.40
  4. Step 4: Simplify right side
    117,120.48x = 17,286,604,731.68
  5. Step 5: Solve for x
    x = 17,286,604,731.68/117,120.48
  6. Step 6: Final answer
    x = 147,596.77

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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.