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Finding the Fourth Proportional to 190,402.52, 285,663.46 and 114,583.78

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Solution

The fourth proportional to 190,402.52, 285,663.46 and 114,583.78 is: 171,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,402.52 : 285,663.46 = 114,583.78 : x
  2. Step 2: Convert to fraction form
    190,402.52/285,663.46 = 114,583.78/x
  3. Step 3: Cross multiply
    190,402.52x = 285,663.46 × 114,583.78
  4. Step 4: Simplify right side
    190,402.52x = 32,732,399,054.68
  5. Step 5: Solve for x
    x = 32,732,399,054.68/190,402.52
  6. Step 6: Final answer
    x = 171,911.59

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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.