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Finding the Fourth Proportional to 187,499.84, 258,698.54 and 106,897.96

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Solution

The fourth proportional to 187,499.84, 258,698.54 and 106,897.96 is: 147,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,499.84 : 258,698.54 = 106,897.96 : x
  2. Step 2: Convert to fraction form
    187,499.84/258,698.54 = 106,897.96/x
  3. Step 3: Cross multiply
    187,499.84x = 258,698.54 × 106,897.96
  4. Step 4: Simplify right side
    187,499.84x = 27,654,346,180.98
  5. Step 5: Solve for x
    x = 27,654,346,180.98/187,499.84
  6. Step 6: Final answer
    x = 147,489.97

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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.