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Finding the Fourth Proportional to 117,102.24, 175,828.32 and 115,352.64

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Solution

The fourth proportional to 117,102.24, 175,828.32 and 115,352.64 is: 173,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102.24 : 175,828.32 = 115,352.64 : x
  2. Step 2: Convert to fraction form
    117,102.24/175,828.32 = 115,352.64/x
  3. Step 3: Cross multiply
    117,102.24x = 175,828.32 × 115,352.64
  4. Step 4: Simplify right side
    117,102.24x = 20,282,260,898.76
  5. Step 5: Solve for x
    x = 20,282,260,898.76/117,102.24
  6. Step 6: Final answer
    x = 173,201.31

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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.