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Finding the Fourth Proportional to 187,486.25, 258,461.86 and 133,677.86

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Solution

The fourth proportional to 187,486.25, 258,461.86 and 133,677.86 is: 184,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,486.25 : 258,461.86 = 133,677.86 : x
  2. Step 2: Convert to fraction form
    187,486.25/258,461.86 = 133,677.86/x
  3. Step 3: Cross multiply
    187,486.25x = 258,461.86 × 133,677.86
  4. Step 4: Simplify right side
    187,486.25x = 34,550,628,336.42
  5. Step 5: Solve for x
    x = 34,550,628,336.42/187,486.25
  6. Step 6: Final answer
    x = 184,283.53

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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.