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Finding the Fourth Proportional to 190,376.51, 285,600.81 and 76,533.14

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Solution

The fourth proportional to 190,376.51, 285,600.81 and 76,533.14 is: 114,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,376.51 : 285,600.81 = 76,533.14 : x
  2. Step 2: Convert to fraction form
    190,376.51/285,600.81 = 76,533.14/x
  3. Step 3: Cross multiply
    190,376.51x = 285,600.81 × 76,533.14
  4. Step 4: Simplify right side
    190,376.51x = 21,857,924,965.17
  5. Step 5: Solve for x
    x = 21,857,924,965.17/190,376.51
  6. Step 6: Final answer
    x = 114,814.19

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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.