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Finding the Fourth Proportional to 187,270.40, 258,455.84 and 105,614.20

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Solution

The fourth proportional to 187,270.40, 258,455.84 and 105,614.20 is: 145,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,270.40 : 258,455.84 = 105,614.20 : x
  2. Step 2: Convert to fraction form
    187,270.40/258,455.84 = 105,614.20/x
  3. Step 3: Cross multiply
    187,270.40x = 258,455.84 × 105,614.20
  4. Step 4: Simplify right side
    187,270.40x = 27,296,606,776.93
  5. Step 5: Solve for x
    x = 27,296,606,776.93/187,270.40
  6. Step 6: Final answer
    x = 145,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.