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Finding the Fourth Proportional to 187,276.36, 258,378.06 and 106,646.70

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Solution

The fourth proportional to 187,276.36, 258,378.06 and 106,646.70 is: 147,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,276.36 : 258,378.06 = 106,646.70 : x
  2. Step 2: Convert to fraction form
    187,276.36/258,378.06 = 106,646.70/x
  3. Step 3: Cross multiply
    187,276.36x = 258,378.06 × 106,646.70
  4. Step 4: Simplify right side
    187,276.36x = 27,555,167,451.40
  5. Step 5: Solve for x
    x = 27,555,167,451.40/187,276.36
  6. Step 6: Final answer
    x = 147,136.39

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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.