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Finding the Fourth Proportional to 187,702.48, 258,821.87 and 119,611.60

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Solution

The fourth proportional to 187,702.48, 258,821.87 and 119,611.60 is: 164,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,702.48 : 258,821.87 = 119,611.60 : x
  2. Step 2: Convert to fraction form
    187,702.48/258,821.87 = 119,611.60/x
  3. Step 3: Cross multiply
    187,702.48x = 258,821.87 × 119,611.60
  4. Step 4: Simplify right side
    187,702.48x = 30,958,098,196.45
  5. Step 5: Solve for x
    x = 30,958,098,196.45/187,702.48
  6. Step 6: Final answer
    x = 164,931.75

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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.