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Finding the Fourth Proportional to 187,498.84, 258,697.16 and 106,896.96

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Solution

The fourth proportional to 187,498.84, 258,697.16 and 106,896.96 is: 147,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,498.84 : 258,697.16 = 106,896.96 : x
  2. Step 2: Convert to fraction form
    187,498.84/258,697.16 = 106,896.96/x
  3. Step 3: Cross multiply
    187,498.84x = 258,697.16 × 106,896.96
  4. Step 4: Simplify right side
    187,498.84x = 27,653,939,964.63
  5. Step 5: Solve for x
    x = 27,653,939,964.63/187,498.84
  6. Step 6: Final answer
    x = 147,488.59

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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.