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Finding the Fourth Proportional to 187,290.38, 258,477.61 and 106,743.86

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Solution

The fourth proportional to 187,290.38, 258,477.61 and 106,743.86 is: 147,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,290.38 : 258,477.61 = 106,743.86 : x
  2. Step 2: Convert to fraction form
    187,290.38/258,477.61 = 106,743.86/x
  3. Step 3: Cross multiply
    187,290.38x = 258,477.61 × 106,743.86
  4. Step 4: Simplify right side
    187,290.38x = 27,590,897,814.97
  5. Step 5: Solve for x
    x = 27,590,897,814.97/187,290.38
  6. Step 6: Final answer
    x = 147,316.15

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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.