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Finding the Fourth Proportional to 109,209.60, 163,821.84 and 37,133.16

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Solution

The fourth proportional to 109,209.60, 163,821.84 and 37,133.16 is: 55,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209.60 : 163,821.84 = 37,133.16 : x
  2. Step 2: Convert to fraction form
    109,209.60/163,821.84 = 37,133.16/x
  3. Step 3: Cross multiply
    109,209.60x = 163,821.84 × 37,133.16
  4. Step 4: Simplify right side
    109,209.60x = 6,083,222,596.21
  5. Step 5: Solve for x
    x = 6,083,222,596.21/109,209.60
  6. Step 6: Final answer
    x = 55,702.27

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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.