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Finding the Fourth Proportional to 117,738.24, 162,477.90 and 64,023.24

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Solution

The fourth proportional to 117,738.24, 162,477.90 and 64,023.24 is: 88,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,738.24 : 162,477.90 = 64,023.24 : x
  2. Step 2: Convert to fraction form
    117,738.24/162,477.90 = 64,023.24/x
  3. Step 3: Cross multiply
    117,738.24x = 162,477.90 × 64,023.24
  4. Step 4: Simplify right side
    117,738.24x = 10,402,361,586.40
  5. Step 5: Solve for x
    x = 10,402,361,586.40/117,738.24
  6. Step 6: Final answer
    x = 88,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.