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Finding the Fourth Proportional to 190,226.76, 262,518.62 and 105,342

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Solution

The fourth proportional to 190,226.76, 262,518.62 and 105,342 is: 145,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,226.76 : 262,518.62 = 105,342 : x
  2. Step 2: Convert to fraction form
    190,226.76/262,518.62 = 105,342/x
  3. Step 3: Cross multiply
    190,226.76x = 262,518.62 × 105,342
  4. Step 4: Simplify right side
    190,226.76x = 27,654,235,941.33
  5. Step 5: Solve for x
    x = 27,654,235,941.33/190,226.76
  6. Step 6: Final answer
    x = 145,375.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.