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Finding the Fourth Proportional to 109,634.60, 164,123.85 and 97,824.80

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Solution

The fourth proportional to 109,634.60, 164,123.85 and 97,824.80 is: 146,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,634.60 : 164,123.85 = 97,824.80 : x
  2. Step 2: Convert to fraction form
    109,634.60/164,123.85 = 97,824.80/x
  3. Step 3: Cross multiply
    109,634.60x = 164,123.85 × 97,824.80
  4. Step 4: Simplify right side
    109,634.60x = 16,055,382,801.48
  5. Step 5: Solve for x
    x = 16,055,382,801.48/109,634.60
  6. Step 6: Final answer
    x = 146,444.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.