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Finding the Fourth Proportional to 190,892.70, 286,470.14 and 66,233.70

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Solution

The fourth proportional to 190,892.70, 286,470.14 and 66,233.70 is: 99,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,892.70 : 286,470.14 = 66,233.70 : x
  2. Step 2: Convert to fraction form
    190,892.70/286,470.14 = 66,233.70/x
  3. Step 3: Cross multiply
    190,892.70x = 286,470.14 × 66,233.70
  4. Step 4: Simplify right side
    190,892.70x = 18,973,976,980.55
  5. Step 5: Solve for x
    x = 18,973,976,980.55/190,892.70
  6. Step 6: Final answer
    x = 99,396.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.