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Finding the Fourth Proportional to 117,644.24, 162,416.60 and 77,474.64

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Solution

The fourth proportional to 117,644.24, 162,416.60 and 77,474.64 is: 106,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,644.24 : 162,416.60 = 77,474.64 : x
  2. Step 2: Convert to fraction form
    117,644.24/162,416.60 = 77,474.64/x
  3. Step 3: Cross multiply
    117,644.24x = 162,416.60 × 77,474.64
  4. Step 4: Simplify right side
    117,644.24x = 12,583,167,615.02
  5. Step 5: Solve for x
    x = 12,583,167,615.02/117,644.24
  6. Step 6: Final answer
    x = 106,959.49

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1.5x scale

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.