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Finding the Fourth Proportional to 190,697.04, 286,059.24 and 50,454

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Solution

The fourth proportional to 190,697.04, 286,059.24 and 50,454 is: 75,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,697.04 : 286,059.24 = 50,454 : x
  2. Step 2: Convert to fraction form
    190,697.04/286,059.24 = 50,454/x
  3. Step 3: Cross multiply
    190,697.04x = 286,059.24 × 50,454
  4. Step 4: Simplify right side
    190,697.04x = 14,432,832,894.96
  5. Step 5: Solve for x
    x = 14,432,832,894.96/190,697.04
  6. Step 6: Final answer
    x = 75,684.62

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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.