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Finding the Fourth Proportional to 190,355.40, 285,547.68 and 50,112

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Solution

The fourth proportional to 190,355.40, 285,547.68 and 50,112 is: 75,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,355.40 : 285,547.68 = 50,112 : x
  2. Step 2: Convert to fraction form
    190,355.40/285,547.68 = 50,112/x
  3. Step 3: Cross multiply
    190,355.40x = 285,547.68 × 50,112
  4. Step 4: Simplify right side
    190,355.40x = 14,309,365,340.16
  5. Step 5: Solve for x
    x = 14,309,365,340.16/190,355.40
  6. Step 6: Final answer
    x = 75,171.84

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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.