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Finding the Fourth Proportional to 109,364.90, 164,070.24 and 46,185.22

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Solution

The fourth proportional to 109,364.90, 164,070.24 and 46,185.22 is: 69,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364.90 : 164,070.24 = 46,185.22 : x
  2. Step 2: Convert to fraction form
    109,364.90/164,070.24 = 46,185.22/x
  3. Step 3: Cross multiply
    109,364.90x = 164,070.24 × 46,185.22
  4. Step 4: Simplify right side
    109,364.90x = 7,577,620,129.85
  5. Step 5: Solve for x
    x = 7,577,620,129.85/109,364.90
  6. Step 6: Final answer
    x = 69,287.50

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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.