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Finding the Fourth Proportional to 109,166.40, 163,824.80 and 38,089.44

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Solution

The fourth proportional to 109,166.40, 163,824.80 and 38,089.44 is: 57,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166.40 : 163,824.80 = 38,089.44 : x
  2. Step 2: Convert to fraction form
    109,166.40/163,824.80 = 38,089.44/x
  3. Step 3: Cross multiply
    109,166.40x = 163,824.80 × 38,089.44
  4. Step 4: Simplify right side
    109,166.40x = 6,239,994,890.11
  5. Step 5: Solve for x
    x = 6,239,994,890.11/109,166.40
  6. Step 6: Final answer
    x = 57,160.40

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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.