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Finding the Fourth Proportional to 301,814.94, 416,527.17 and 187,115.90

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Solution

The fourth proportional to 301,814.94, 416,527.17 and 187,115.90 is: 258,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,814.94 : 416,527.17 = 187,115.90 : x
  2. Step 2: Convert to fraction form
    301,814.94/416,527.17 = 187,115.90/x
  3. Step 3: Cross multiply
    301,814.94x = 416,527.17 × 187,115.90
  4. Step 4: Simplify right side
    301,814.94x = 77,938,855,991.82
  5. Step 5: Solve for x
    x = 77,938,855,991.82/301,814.94
  6. Step 6: Final answer
    x = 258,233.93

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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.